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Finding the Fourth Proportional to 89,158.40, 133,677 and 42,416

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Solution

The fourth proportional to 89,158.40, 133,677 and 42,416 is: 63,595.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,158.40 : 133,677 = 42,416 : x
  2. Step 2: Convert to fraction form
    89,158.40/133,677 = 42,416/x
  3. Step 3: Cross multiply
    89,158.40x = 133,677 × 42,416
  4. Step 4: Simplify right side
    89,158.40x = 5,670,043,632
  5. Step 5: Solve for x
    x = 5,670,043,632/89,158.40
  6. Step 6: Final answer
    x = 63,595.17

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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.