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Finding the Fourth Proportional to 84,034.59, 126,051.42 and 48,472.86

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Solution

The fourth proportional to 84,034.59, 126,051.42 and 48,472.86 is: 72,709.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,034.59 : 126,051.42 = 48,472.86 : x
  2. Step 2: Convert to fraction form
    84,034.59/126,051.42 = 48,472.86/x
  3. Step 3: Cross multiply
    84,034.59x = 126,051.42 × 48,472.86
  4. Step 4: Simplify right side
    84,034.59x = 6,110,072,834.46
  5. Step 5: Solve for x
    x = 6,110,072,834.46/84,034.59
  6. Step 6: Final answer
    x = 72,709.02

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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.