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Finding the Fourth Proportional to 75,614.60, 113,421.90 and 34,142.60

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Solution

The fourth proportional to 75,614.60, 113,421.90 and 34,142.60 is: 51,213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,614.60 : 113,421.90 = 34,142.60 : x
  2. Step 2: Convert to fraction form
    75,614.60/113,421.90 = 34,142.60/x
  3. Step 3: Cross multiply
    75,614.60x = 113,421.90 × 34,142.60
  4. Step 4: Simplify right side
    75,614.60x = 3,872,518,562.94
  5. Step 5: Solve for x
    x = 3,872,518,562.94/75,614.60
  6. Step 6: Final answer
    x = 51,213.90

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1.5x scale

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.