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Finding the Fourth Proportional to 100,597.18, 138,836.38 and 57,592.66

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Solution

The fourth proportional to 100,597.18, 138,836.38 and 57,592.66 is: 79,484.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,597.18 : 138,836.38 = 57,592.66 : x
  2. Step 2: Convert to fraction form
    100,597.18/138,836.38 = 57,592.66/x
  3. Step 3: Cross multiply
    100,597.18x = 138,836.38 × 57,592.66
  4. Step 4: Simplify right side
    100,597.18x = 7,995,956,428.97
  5. Step 5: Solve for x
    x = 7,995,956,428.97/100,597.18
  6. Step 6: Final answer
    x = 79,484.90

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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.