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Finding the Fourth Proportional to 83,248.86, 114,878.52 and 47,438.58

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Solution

The fourth proportional to 83,248.86, 114,878.52 and 47,438.58 is: 65,462.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,248.86 : 114,878.52 = 47,438.58 : x
  2. Step 2: Convert to fraction form
    83,248.86/114,878.52 = 47,438.58/x
  3. Step 3: Cross multiply
    83,248.86x = 114,878.52 × 47,438.58
  4. Step 4: Simplify right side
    83,248.86x = 5,449,673,861.30
  5. Step 5: Solve for x
    x = 5,449,673,861.30/83,248.86
  6. Step 6: Final answer
    x = 65,462.44

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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.