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Finding the Fourth Proportional to 83,547.86, 125,127.23 and 50,194.26

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Solution

The fourth proportional to 83,547.86, 125,127.23 and 50,194.26 is: 75,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,547.86 : 125,127.23 = 50,194.26 : x
  2. Step 2: Convert to fraction form
    83,547.86/125,127.23 = 50,194.26/x
  3. Step 3: Cross multiply
    83,547.86x = 125,127.23 × 50,194.26
  4. Step 4: Simplify right side
    83,547.86x = 6,280,668,464.73
  5. Step 5: Solve for x
    x = 6,280,668,464.73/83,547.86
  6. Step 6: Final answer
    x = 75,174.50

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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.