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Finding the Fourth Proportional to 71,124.76, 106,724.40 and 46,158.96

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Solution

The fourth proportional to 71,124.76, 106,724.40 and 46,158.96 is: 69,262.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,124.76 : 106,724.40 = 46,158.96 : x
  2. Step 2: Convert to fraction form
    71,124.76/106,724.40 = 46,158.96/x
  3. Step 3: Cross multiply
    71,124.76x = 106,724.40 × 46,158.96
  4. Step 4: Simplify right side
    71,124.76x = 4,926,287,310.62
  5. Step 5: Solve for x
    x = 4,926,287,310.62/71,124.76
  6. Step 6: Final answer
    x = 69,262.62

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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.