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Finding the Fourth Proportional to 34,744.72, 47,892.16 and 24,652.12

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Solution

The fourth proportional to 34,744.72, 47,892.16 and 24,652.12 is: 33,980.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,744.72 : 47,892.16 = 24,652.12 : x
  2. Step 2: Convert to fraction form
    34,744.72/47,892.16 = 24,652.12/x
  3. Step 3: Cross multiply
    34,744.72x = 47,892.16 × 24,652.12
  4. Step 4: Simplify right side
    34,744.72x = 1,180,643,275.38
  5. Step 5: Solve for x
    x = 1,180,643,275.38/34,744.72
  6. Step 6: Final answer
    x = 33,980.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.