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Finding the Fourth Proportional to 89,332.86, 123,281.34 and 49,047.30

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Solution

The fourth proportional to 89,332.86, 123,281.34 and 49,047.30 is: 67,686.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,332.86 : 123,281.34 = 49,047.30 : x
  2. Step 2: Convert to fraction form
    89,332.86/123,281.34 = 49,047.30/x
  3. Step 3: Cross multiply
    89,332.86x = 123,281.34 × 49,047.30
  4. Step 4: Simplify right side
    89,332.86x = 6,046,616,867.38
  5. Step 5: Solve for x
    x = 6,046,616,867.38/89,332.86
  6. Step 6: Final answer
    x = 67,686.37

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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.