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Finding the Fourth Proportional to 70,817.68, 106,212.42 and 45,442.14

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Solution

The fourth proportional to 70,817.68, 106,212.42 and 45,442.14 is: 68,154.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,817.68 : 106,212.42 = 45,442.14 : x
  2. Step 2: Convert to fraction form
    70,817.68/106,212.42 = 45,442.14/x
  3. Step 3: Cross multiply
    70,817.68x = 106,212.42 × 45,442.14
  4. Step 4: Simplify right side
    70,817.68x = 4,826,519,659.38
  5. Step 5: Solve for x
    x = 4,826,519,659.38/70,817.68
  6. Step 6: Final answer
    x = 68,154.16

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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.