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Finding the Fourth Proportional to 84,814.56, 127,262.88 and 34,909.92

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Solution

The fourth proportional to 84,814.56, 127,262.88 and 34,909.92 is: 52,381.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,814.56 : 127,262.88 = 34,909.92 : x
  2. Step 2: Convert to fraction form
    84,814.56/127,262.88 = 34,909.92/x
  3. Step 3: Cross multiply
    84,814.56x = 127,262.88 × 34,909.92
  4. Step 4: Simplify right side
    84,814.56x = 4,442,736,959.77
  5. Step 5: Solve for x
    x = 4,442,736,959.77/84,814.56
  6. Step 6: Final answer
    x = 52,381.77

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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.