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Finding the Fourth Proportional to 52,031.54, 71,807.64 and 30,514.70

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Solution

The fourth proportional to 52,031.54, 71,807.64 and 30,514.70 is: 42,112.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,031.54 : 71,807.64 = 30,514.70 : x
  2. Step 2: Convert to fraction form
    52,031.54/71,807.64 = 30,514.70/x
  3. Step 3: Cross multiply
    52,031.54x = 71,807.64 × 30,514.70
  4. Step 4: Simplify right side
    52,031.54x = 2,191,188,592.31
  5. Step 5: Solve for x
    x = 2,191,188,592.31/52,031.54
  6. Step 6: Final answer
    x = 42,112.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.