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Finding the Fourth Proportional to 83,224.89, 114,854.58 and 49,252.88

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Solution

The fourth proportional to 83,224.89, 114,854.58 and 49,252.88 is: 67,971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,224.89 : 114,854.58 = 49,252.88 : x
  2. Step 2: Convert to fraction form
    83,224.89/114,854.58 = 49,252.88/x
  3. Step 3: Cross multiply
    83,224.89x = 114,854.58 × 49,252.88
  4. Step 4: Simplify right side
    83,224.89x = 5,656,918,271.92
  5. Step 5: Solve for x
    x = 5,656,918,271.92/83,224.89
  6. Step 6: Final answer
    x = 67,971.47

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1.5x scale

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.