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Finding the Fourth Proportional to 89,833.86, 123,971.63 and 49,549.11

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Solution

The fourth proportional to 89,833.86, 123,971.63 and 49,549.11 is: 68,378.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,833.86 : 123,971.63 = 49,549.11 : x
  2. Step 2: Convert to fraction form
    89,833.86/123,971.63 = 49,549.11/x
  3. Step 3: Cross multiply
    89,833.86x = 123,971.63 × 49,549.11
  4. Step 4: Simplify right side
    89,833.86x = 6,142,683,684.00
  5. Step 5: Solve for x
    x = 6,142,683,684.00/89,833.86
  6. Step 6: Final answer
    x = 68,378.27

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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.