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Finding the Fourth Proportional to 89,092.54, 122,947.75 and 48,807.75

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Solution

The fourth proportional to 89,092.54, 122,947.75 and 48,807.75 is: 67,354.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,092.54 : 122,947.75 = 48,807.75 : x
  2. Step 2: Convert to fraction form
    89,092.54/122,947.75 = 48,807.75/x
  3. Step 3: Cross multiply
    89,092.54x = 122,947.75 × 48,807.75
  4. Step 4: Simplify right side
    89,092.54x = 6,000,803,045.06
  5. Step 5: Solve for x
    x = 6,000,803,045.06/89,092.54
  6. Step 6: Final answer
    x = 67,354.72

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Why These Related Problems?

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