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Finding the Fourth Proportional to 29,755, 41,061.90 and 16,507

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Solution

The fourth proportional to 29,755, 41,061.90 and 16,507 is: 22,779.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,755 : 41,061.90 = 16,507 : x
  2. Step 2: Convert to fraction form
    29,755/41,061.90 = 16,507/x
  3. Step 3: Cross multiply
    29,755x = 41,061.90 × 16,507
  4. Step 4: Simplify right side
    29,755x = 677,808,783.30
  5. Step 5: Solve for x
    x = 677,808,783.30/29,755
  6. Step 6: Final answer
    x = 22,779.66

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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.