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Finding the Fourth Proportional to 29,754, 41,060.52 and 16,506

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Solution

The fourth proportional to 29,754, 41,060.52 and 16,506 is: 22,778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,754 : 41,060.52 = 16,506 : x
  2. Step 2: Convert to fraction form
    29,754/41,060.52 = 16,506/x
  3. Step 3: Cross multiply
    29,754x = 41,060.52 × 16,506
  4. Step 4: Simplify right side
    29,754x = 677,744,943.12
  5. Step 5: Solve for x
    x = 677,744,943.12/29,754
  6. Step 6: Final answer
    x = 22,778.28

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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.