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Finding the Fourth Proportional to 96,002.28, 144,035 and 45,423.04

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Solution

The fourth proportional to 96,002.28, 144,035 and 45,423.04 is: 68,149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,002.28 : 144,035 = 45,423.04 : x
  2. Step 2: Convert to fraction form
    96,002.28/144,035 = 45,423.04/x
  3. Step 3: Cross multiply
    96,002.28x = 144,035 × 45,423.04
  4. Step 4: Simplify right side
    96,002.28x = 6,542,507,566.40
  5. Step 5: Solve for x
    x = 6,542,507,566.40/96,002.28
  6. Step 6: Final answer
    x = 68,149.50

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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.