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Finding the Fourth Proportional to 49,344.80, 74,017.20 and 28,263.20

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Solution

The fourth proportional to 49,344.80, 74,017.20 and 28,263.20 is: 42,394.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,344.80 : 74,017.20 = 28,263.20 : x
  2. Step 2: Convert to fraction form
    49,344.80/74,017.20 = 28,263.20/x
  3. Step 3: Cross multiply
    49,344.80x = 74,017.20 × 28,263.20
  4. Step 4: Simplify right side
    49,344.80x = 2,091,962,927.04
  5. Step 5: Solve for x
    x = 2,091,962,927.04/49,344.80
  6. Step 6: Final answer
    x = 42,394.80

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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.