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Finding the Fourth Proportional to 38,574.62, 57,864.50 and 14,893.46

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Solution

The fourth proportional to 38,574.62, 57,864.50 and 14,893.46 is: 22,341.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,574.62 : 57,864.50 = 14,893.46 : x
  2. Step 2: Convert to fraction form
    38,574.62/57,864.50 = 14,893.46/x
  3. Step 3: Cross multiply
    38,574.62x = 57,864.50 × 14,893.46
  4. Step 4: Simplify right side
    38,574.62x = 861,802,616.17
  5. Step 5: Solve for x
    x = 861,802,616.17/38,574.62
  6. Step 6: Final answer
    x = 22,341.18

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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.