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Finding the Fourth Proportional to 58,902.32, 81,318.72 and 38,817.56

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Solution

The fourth proportional to 58,902.32, 81,318.72 and 38,817.56 is: 53,590.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,902.32 : 81,318.72 = 38,817.56 : x
  2. Step 2: Convert to fraction form
    58,902.32/81,318.72 = 38,817.56/x
  3. Step 3: Cross multiply
    58,902.32x = 81,318.72 × 38,817.56
  4. Step 4: Simplify right side
    58,902.32x = 3,156,594,292.72
  5. Step 5: Solve for x
    x = 3,156,594,292.72/58,902.32
  6. Step 6: Final answer
    x = 53,590.32

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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.