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Finding the Fourth Proportional to 45,140.40, 67,710.60 and 32,007.60

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Solution

The fourth proportional to 45,140.40, 67,710.60 and 32,007.60 is: 48,011.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,140.40 : 67,710.60 = 32,007.60 : x
  2. Step 2: Convert to fraction form
    45,140.40/67,710.60 = 32,007.60/x
  3. Step 3: Cross multiply
    45,140.40x = 67,710.60 × 32,007.60
  4. Step 4: Simplify right side
    45,140.40x = 2,167,253,800.56
  5. Step 5: Solve for x
    x = 2,167,253,800.56/45,140.40
  6. Step 6: Final answer
    x = 48,011.40

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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.