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Finding the Fourth Proportional to 89,522, 123,541.19 and 48,686.50

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Solution

The fourth proportional to 89,522, 123,541.19 and 48,686.50 is: 67,187.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,522 : 123,541.19 = 48,686.50 : x
  2. Step 2: Convert to fraction form
    89,522/123,541.19 = 48,686.50/x
  3. Step 3: Cross multiply
    89,522x = 123,541.19 × 48,686.50
  4. Step 4: Simplify right side
    89,522x = 6,014,788,146.94
  5. Step 5: Solve for x
    x = 6,014,788,146.94/89,522
  6. Step 6: Final answer
    x = 67,187.82

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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.