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Finding the Fourth Proportional to 56,233.38, 77,602.14 and 32,359.58

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Solution

The fourth proportional to 56,233.38, 77,602.14 and 32,359.58 is: 44,656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,233.38 : 77,602.14 = 32,359.58 : x
  2. Step 2: Convert to fraction form
    56,233.38/77,602.14 = 32,359.58/x
  3. Step 3: Cross multiply
    56,233.38x = 77,602.14 × 32,359.58
  4. Step 4: Simplify right side
    56,233.38x = 2,511,172,657.50
  5. Step 5: Solve for x
    x = 2,511,172,657.50/56,233.38
  6. Step 6: Final answer
    x = 44,656.26

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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.