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Finding the Fourth Proportional to 38,772.56, 58,164.72 and 16,586

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Solution

The fourth proportional to 38,772.56, 58,164.72 and 16,586 is: 24,881.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,772.56 : 58,164.72 = 16,586 : x
  2. Step 2: Convert to fraction form
    38,772.56/58,164.72 = 16,586/x
  3. Step 3: Cross multiply
    38,772.56x = 58,164.72 × 16,586
  4. Step 4: Simplify right side
    38,772.56x = 964,720,045.92
  5. Step 5: Solve for x
    x = 964,720,045.92/38,772.56
  6. Step 6: Final answer
    x = 24,881.52

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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.