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Finding the Fourth Proportional to 117,428, 176,105 and 38,523.84

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Solution

The fourth proportional to 117,428, 176,105 and 38,523.84 is: 57,773.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,428 : 176,105 = 38,523.84 : x
  2. Step 2: Convert to fraction form
    117,428/176,105 = 38,523.84/x
  3. Step 3: Cross multiply
    117,428x = 176,105 × 38,523.84
  4. Step 4: Simplify right side
    117,428x = 6,784,240,843.20
  5. Step 5: Solve for x
    x = 6,784,240,843.20/117,428
  6. Step 6: Final answer
    x = 57,773.62

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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.