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Finding the Fourth Proportional to 75,130.52, 112,713.54 and 24,529.28

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Solution

The fourth proportional to 75,130.52, 112,713.54 and 24,529.28 is: 36,799.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,130.52 : 112,713.54 = 24,529.28 : x
  2. Step 2: Convert to fraction form
    75,130.52/112,713.54 = 24,529.28/x
  3. Step 3: Cross multiply
    75,130.52x = 112,713.54 × 24,529.28
  4. Step 4: Simplify right side
    75,130.52x = 2,764,781,982.45
  5. Step 5: Solve for x
    x = 2,764,781,982.45/75,130.52
  6. Step 6: Final answer
    x = 36,799.72

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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.