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Finding the Fourth Proportional to 57,394, 79,201.56 and 31,901.92

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Solution

The fourth proportional to 57,394, 79,201.56 and 31,901.92 is: 44,023.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,394 : 79,201.56 = 31,901.92 : x
  2. Step 2: Convert to fraction form
    57,394/79,201.56 = 31,901.92/x
  3. Step 3: Cross multiply
    57,394x = 79,201.56 × 31,901.92
  4. Step 4: Simplify right side
    57,394x = 2,526,681,831.00
  5. Step 5: Solve for x
    x = 2,526,681,831.00/57,394
  6. Step 6: Final answer
    x = 44,023.45

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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.