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Finding the Fourth Proportional to 64,098.97, 96,182.88 and 26,684.87

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Solution

The fourth proportional to 64,098.97, 96,182.88 and 26,684.87 is: 40,041.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,098.97 : 96,182.88 = 26,684.87 : x
  2. Step 2: Convert to fraction form
    64,098.97/96,182.88 = 26,684.87/x
  3. Step 3: Cross multiply
    64,098.97x = 96,182.88 × 26,684.87
  4. Step 4: Simplify right side
    64,098.97x = 2,566,627,034.69
  5. Step 5: Solve for x
    x = 2,566,627,034.69/64,098.97
  6. Step 6: Final answer
    x = 40,041.63

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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.