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Finding the Fourth Proportional to 96,376, 144,559.68 and 40,192.96

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Solution

The fourth proportional to 96,376, 144,559.68 and 40,192.96 is: 60,287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,376 : 144,559.68 = 40,192.96 : x
  2. Step 2: Convert to fraction form
    96,376/144,559.68 = 40,192.96/x
  3. Step 3: Cross multiply
    96,376x = 144,559.68 × 40,192.96
  4. Step 4: Simplify right side
    96,376x = 5,810,281,435.85
  5. Step 5: Solve for x
    x = 5,810,281,435.85/96,376
  6. Step 6: Final answer
    x = 60,287.64

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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.