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Finding the Fourth Proportional to 57,902.76, 86,895.68 and 24,646.19

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Solution

The fourth proportional to 57,902.76, 86,895.68 and 24,646.19 is: 36,986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,902.76 : 86,895.68 = 24,646.19 : x
  2. Step 2: Convert to fraction form
    57,902.76/86,895.68 = 24,646.19/x
  3. Step 3: Cross multiply
    57,902.76x = 86,895.68 × 24,646.19
  4. Step 4: Simplify right side
    57,902.76x = 2,141,646,881.75
  5. Step 5: Solve for x
    x = 2,141,646,881.75/57,902.76
  6. Step 6: Final answer
    x = 36,986.96

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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.