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Finding the Fourth Proportional to 56,189.28, 77,543.56 and 32,315.97

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Solution

The fourth proportional to 56,189.28, 77,543.56 and 32,315.97 is: 44,597.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,189.28 : 77,543.56 = 32,315.97 : x
  2. Step 2: Convert to fraction form
    56,189.28/77,543.56 = 32,315.97/x
  3. Step 3: Cross multiply
    56,189.28x = 77,543.56 × 32,315.97
  4. Step 4: Simplify right side
    56,189.28x = 2,505,895,358.65
  5. Step 5: Solve for x
    x = 2,505,895,358.65/56,189.28
  6. Step 6: Final answer
    x = 44,597.39

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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.