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Finding the Fourth Proportional to 38,050.43, 57,078.14 and 9,971.17

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Solution

The fourth proportional to 38,050.43, 57,078.14 and 9,971.17 is: 14,957.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,050.43 : 57,078.14 = 9,971.17 : x
  2. Step 2: Convert to fraction form
    38,050.43/57,078.14 = 9,971.17/x
  3. Step 3: Cross multiply
    38,050.43x = 57,078.14 × 9,971.17
  4. Step 4: Simplify right side
    38,050.43x = 569,135,644.67
  5. Step 5: Solve for x
    x = 569,135,644.67/38,050.43
  6. Step 6: Final answer
    x = 14,957.41

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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.