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Finding the Fourth Proportional to 75,308.46, 112,784.58 and 65,393.86

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Solution

The fourth proportional to 75,308.46, 112,784.58 and 65,393.86 is: 97,936.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,308.46 : 112,784.58 = 65,393.86 : x
  2. Step 2: Convert to fraction form
    75,308.46/112,784.58 = 65,393.86/x
  3. Step 3: Cross multiply
    75,308.46x = 112,784.58 × 65,393.86
  4. Step 4: Simplify right side
    75,308.46x = 7,375,419,034.68
  5. Step 5: Solve for x
    x = 7,375,419,034.68/75,308.46
  6. Step 6: Final answer
    x = 97,936.13

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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.