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Finding the Fourth Proportional to 83,126.90, 124,707.88 and 26,962.65

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Solution

The fourth proportional to 83,126.90, 124,707.88 and 26,962.65 is: 40,449.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,126.90 : 124,707.88 = 26,962.65 : x
  2. Step 2: Convert to fraction form
    83,126.90/124,707.88 = 26,962.65/x
  3. Step 3: Cross multiply
    83,126.90x = 124,707.88 × 26,962.65
  4. Step 4: Simplify right side
    83,126.90x = 3,362,454,364.55
  5. Step 5: Solve for x
    x = 3,362,454,364.55/83,126.90
  6. Step 6: Final answer
    x = 40,449.66

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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.