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Finding the Fourth Proportional to 56,377.14, 84,575.31 and 19,432.50

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Solution

The fourth proportional to 56,377.14, 84,575.31 and 19,432.50 is: 29,152.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,377.14 : 84,575.31 = 19,432.50 : x
  2. Step 2: Convert to fraction form
    56,377.14/84,575.31 = 19,432.50/x
  3. Step 3: Cross multiply
    56,377.14x = 84,575.31 × 19,432.50
  4. Step 4: Simplify right side
    56,377.14x = 1,643,509,711.58
  5. Step 5: Solve for x
    x = 1,643,509,711.58/56,377.14
  6. Step 6: Final answer
    x = 29,152.06

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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.