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Finding the Fourth Proportional to 101,023.38, 139,384.92 and 57,415.32

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Solution

The fourth proportional to 101,023.38, 139,384.92 and 57,415.32 is: 79,217.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,023.38 : 139,384.92 = 57,415.32 : x
  2. Step 2: Convert to fraction form
    101,023.38/139,384.92 = 57,415.32/x
  3. Step 3: Cross multiply
    101,023.38x = 139,384.92 × 57,415.32
  4. Step 4: Simplify right side
    101,023.38x = 8,002,829,784.97
  5. Step 5: Solve for x
    x = 8,002,829,784.97/101,023.38
  6. Step 6: Final answer
    x = 79,217.60

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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.