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Finding the Fourth Proportional to 92,472.82, 127,496.30 and 75,459.78

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Solution

The fourth proportional to 92,472.82, 127,496.30 and 75,459.78 is: 104,039.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,472.82 : 127,496.30 = 75,459.78 : x
  2. Step 2: Convert to fraction form
    92,472.82/127,496.30 = 75,459.78/x
  3. Step 3: Cross multiply
    92,472.82x = 127,496.30 × 75,459.78
  4. Step 4: Simplify right side
    92,472.82x = 9,620,842,748.81
  5. Step 5: Solve for x
    x = 9,620,842,748.81/92,472.82
  6. Step 6: Final answer
    x = 104,039.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.