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Finding the Fourth Proportional to 29,294.61, 43,957.41 and 15,977.22

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Solution

The fourth proportional to 29,294.61, 43,957.41 and 15,977.22 is: 23,974.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,294.61 : 43,957.41 = 15,977.22 : x
  2. Step 2: Convert to fraction form
    29,294.61/43,957.41 = 15,977.22/x
  3. Step 3: Cross multiply
    29,294.61x = 43,957.41 × 15,977.22
  4. Step 4: Simplify right side
    29,294.61x = 702,317,210.20
  5. Step 5: Solve for x
    x = 702,317,210.20/29,294.61
  6. Step 6: Final answer
    x = 23,974.28

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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.