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Finding the Fourth Proportional to 34,616.96, 51,970.08 and 29,718.08

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Solution

The fourth proportional to 34,616.96, 51,970.08 and 29,718.08 is: 44,615.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,616.96 : 51,970.08 = 29,718.08 : x
  2. Step 2: Convert to fraction form
    34,616.96/51,970.08 = 29,718.08/x
  3. Step 3: Cross multiply
    34,616.96x = 51,970.08 × 29,718.08
  4. Step 4: Simplify right side
    34,616.96x = 1,544,450,995.05
  5. Step 5: Solve for x
    x = 1,544,450,995.05/34,616.96
  6. Step 6: Final answer
    x = 44,615.44

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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.