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Finding the Fourth Proportional to 105,472.60, 158,122.18 and 49,284.92

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Solution

The fourth proportional to 105,472.60, 158,122.18 and 49,284.92 is: 73,886.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,472.60 : 158,122.18 = 49,284.92 : x
  2. Step 2: Convert to fraction form
    105,472.60/158,122.18 = 49,284.92/x
  3. Step 3: Cross multiply
    105,472.60x = 158,122.18 × 49,284.92
  4. Step 4: Simplify right side
    105,472.60x = 7,793,038,991.53
  5. Step 5: Solve for x
    x = 7,793,038,991.53/105,472.60
  6. Step 6: Final answer
    x = 73,886.86

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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.