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Finding the Fourth Proportional to 109,729.69, 151,427.27 and 59,428.69

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Solution

The fourth proportional to 109,729.69, 151,427.27 and 59,428.69 is: 82,011.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,729.69 : 151,427.27 = 59,428.69 : x
  2. Step 2: Convert to fraction form
    109,729.69/151,427.27 = 59,428.69/x
  3. Step 3: Cross multiply
    109,729.69x = 151,427.27 × 59,428.69
  4. Step 4: Simplify right side
    109,729.69x = 8,999,124,056.38
  5. Step 5: Solve for x
    x = 8,999,124,056.38/109,729.69
  6. Step 6: Final answer
    x = 82,011.75

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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.