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Finding the Fourth Proportional to 49,896,616.80, 74,855,422.80 and 15,821,407.20

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Solution

The fourth proportional to 49,896,616.80, 74,855,422.80 and 15,821,407.20 is: 23,735,439.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,896,616.80 : 74,855,422.80 = 15,821,407.20 : x
  2. Step 2: Convert to fraction form
    49,896,616.80/74,855,422.80 = 15,821,407.20/x
  3. Step 3: Cross multiply
    49,896,616.80x = 74,855,422.80 × 15,821,407.20
  4. Step 4: Simplify right side
    49,896,616.80x = 1,184,318,125,246,964
  5. Step 5: Solve for x
    x = 1,184,318,125,246,964/49,896,616.80
  6. Step 6: Final answer
    x = 23,735,439.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.