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Finding the Fourth Proportional to 83,295.53, 114,944.87 and 47,008.41

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Solution

The fourth proportional to 83,295.53, 114,944.87 and 47,008.41 is: 64,869.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,295.53 : 114,944.87 = 47,008.41 : x
  2. Step 2: Convert to fraction form
    83,295.53/114,944.87 = 47,008.41/x
  3. Step 3: Cross multiply
    83,295.53x = 114,944.87 × 47,008.41
  4. Step 4: Simplify right side
    83,295.53x = 5,403,375,341.31
  5. Step 5: Solve for x
    x = 5,403,375,341.31/83,295.53
  6. Step 6: Final answer
    x = 64,869.94

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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.