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Finding the Fourth Proportional to 75,031.62, 103,529.31 and 42,765.62

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Solution

The fourth proportional to 75,031.62, 103,529.31 and 42,765.62 is: 59,008.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,031.62 : 103,529.31 = 42,765.62 : x
  2. Step 2: Convert to fraction form
    75,031.62/103,529.31 = 42,765.62/x
  3. Step 3: Cross multiply
    75,031.62x = 103,529.31 × 42,765.62
  4. Step 4: Simplify right side
    75,031.62x = 4,427,495,034.66
  5. Step 5: Solve for x
    x = 4,427,495,034.66/75,031.62
  6. Step 6: Final answer
    x = 59,008.39

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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.