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Finding the Fourth Proportional to 117,532.68, 176,325.12 and 38,643.72

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Solution

The fourth proportional to 117,532.68, 176,325.12 and 38,643.72 is: 57,974.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,532.68 : 176,325.12 = 38,643.72 : x
  2. Step 2: Convert to fraction form
    117,532.68/176,325.12 = 38,643.72/x
  3. Step 3: Cross multiply
    117,532.68x = 176,325.12 × 38,643.72
  4. Step 4: Simplify right side
    117,532.68x = 6,813,858,566.25
  5. Step 5: Solve for x
    x = 6,813,858,566.25/117,532.68
  6. Step 6: Final answer
    x = 57,974.16

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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.