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Finding the Fourth Proportional to 101,882.66, 152,807.22 and 27,007.46

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Solution

The fourth proportional to 101,882.66, 152,807.22 and 27,007.46 is: 40,506.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,882.66 : 152,807.22 = 27,007.46 : x
  2. Step 2: Convert to fraction form
    101,882.66/152,807.22 = 27,007.46/x
  3. Step 3: Cross multiply
    101,882.66x = 152,807.22 × 27,007.46
  4. Step 4: Simplify right side
    101,882.66x = 4,126,934,881.86
  5. Step 5: Solve for x
    x = 4,126,934,881.86/101,882.66
  6. Step 6: Final answer
    x = 40,506.74

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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.