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Finding the Fourth Proportional to 89,156.40, 133,674 and 42,414

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Solution

The fourth proportional to 89,156.40, 133,674 and 42,414 is: 63,592.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,156.40 : 133,674 = 42,414 : x
  2. Step 2: Convert to fraction form
    89,156.40/133,674 = 42,414/x
  3. Step 3: Cross multiply
    89,156.40x = 133,674 × 42,414
  4. Step 4: Simplify right side
    89,156.40x = 5,669,649,036
  5. Step 5: Solve for x
    x = 5,669,649,036/89,156.40
  6. Step 6: Final answer
    x = 63,592.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.