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Finding the Fourth Proportional to 56,646.76, 84,785.32 and 41,649.90

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Solution

The fourth proportional to 56,646.76, 84,785.32 and 41,649.90 is: 62,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,646.76 : 84,785.32 = 41,649.90 : x
  2. Step 2: Convert to fraction form
    56,646.76/84,785.32 = 41,649.90/x
  3. Step 3: Cross multiply
    56,646.76x = 84,785.32 × 41,649.90
  4. Step 4: Simplify right side
    56,646.76x = 3,531,300,099.47
  5. Step 5: Solve for x
    x = 3,531,300,099.47/56,646.76
  6. Step 6: Final answer
    x = 62,338.96

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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.