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Finding the Fourth Proportional to 89,461.86, 123,458.76 and 49,177.32

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Solution

The fourth proportional to 89,461.86, 123,458.76 and 49,177.32 is: 67,865.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,461.86 : 123,458.76 = 49,177.32 : x
  2. Step 2: Convert to fraction form
    89,461.86/123,458.76 = 49,177.32/x
  3. Step 3: Cross multiply
    89,461.86x = 123,458.76 × 49,177.32
  4. Step 4: Simplify right side
    89,461.86x = 6,071,370,947.32
  5. Step 5: Solve for x
    x = 6,071,370,947.32/89,461.86
  6. Step 6: Final answer
    x = 67,865.47

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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.