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Finding the Fourth Proportional to 57,471.84, 86,166.18 and 38,705.40

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Solution

The fourth proportional to 57,471.84, 86,166.18 and 38,705.40 is: 58,030.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,471.84 : 86,166.18 = 38,705.40 : x
  2. Step 2: Convert to fraction form
    57,471.84/86,166.18 = 38,705.40/x
  3. Step 3: Cross multiply
    57,471.84x = 86,166.18 × 38,705.40
  4. Step 4: Simplify right side
    57,471.84x = 3,335,096,463.37
  5. Step 5: Solve for x
    x = 3,335,096,463.37/57,471.84
  6. Step 6: Final answer
    x = 58,030.10

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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.