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Finding the Fourth Proportional to 89,251.81, 133,695.45 and 49,829.92

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Solution

The fourth proportional to 89,251.81, 133,695.45 and 49,829.92 is: 74,643.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,251.81 : 133,695.45 = 49,829.92 : x
  2. Step 2: Convert to fraction form
    89,251.81/133,695.45 = 49,829.92/x
  3. Step 3: Cross multiply
    89,251.81x = 133,695.45 × 49,829.92
  4. Step 4: Simplify right side
    89,251.81x = 6,662,033,577.86
  5. Step 5: Solve for x
    x = 6,662,033,577.86/89,251.81
  6. Step 6: Final answer
    x = 74,643.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.