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Finding the Fourth Proportional to 91,696.32, 137,515.20 and 29,352

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Solution

The fourth proportional to 91,696.32, 137,515.20 and 29,352 is: 44,018.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,696.32 : 137,515.20 = 29,352 : x
  2. Step 2: Convert to fraction form
    91,696.32/137,515.20 = 29,352/x
  3. Step 3: Cross multiply
    91,696.32x = 137,515.20 × 29,352
  4. Step 4: Simplify right side
    91,696.32x = 4,036,346,150.40
  5. Step 5: Solve for x
    x = 4,036,346,150.40/91,696.32
  6. Step 6: Final answer
    x = 44,018.63

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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.