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Finding the Fourth Proportional to 59,424, 89,024.76 and 29,807.16

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Solution

The fourth proportional to 59,424, 89,024.76 and 29,807.16 is: 44,654.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,424 : 89,024.76 = 29,807.16 : x
  2. Step 2: Convert to fraction form
    59,424/89,024.76 = 29,807.16/x
  3. Step 3: Cross multiply
    59,424x = 89,024.76 × 29,807.16
  4. Step 4: Simplify right side
    59,424x = 2,653,575,265.28
  5. Step 5: Solve for x
    x = 2,653,575,265.28/59,424
  6. Step 6: Final answer
    x = 44,654.94

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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.