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Finding the Fourth Proportional to 89,461.76, 123,460.02 and 49,178.62

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Solution

The fourth proportional to 89,461.76, 123,460.02 and 49,178.62 is: 67,868.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,461.76 : 123,460.02 = 49,178.62 : x
  2. Step 2: Convert to fraction form
    89,461.76/123,460.02 = 49,178.62/x
  3. Step 3: Cross multiply
    89,461.76x = 123,460.02 × 49,178.62
  4. Step 4: Simplify right side
    89,461.76x = 6,071,593,408.77
  5. Step 5: Solve for x
    x = 6,071,593,408.77/89,461.76
  6. Step 6: Final answer
    x = 67,868.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.