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Finding the Fourth Proportional to 83,884.56, 125,802.12 and 24,718.92

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Solution

The fourth proportional to 83,884.56, 125,802.12 and 24,718.92 is: 37,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,884.56 : 125,802.12 = 24,718.92 : x
  2. Step 2: Convert to fraction form
    83,884.56/125,802.12 = 24,718.92/x
  3. Step 3: Cross multiply
    83,884.56x = 125,802.12 × 24,718.92
  4. Step 4: Simplify right side
    83,884.56x = 3,109,692,540.11
  5. Step 5: Solve for x
    x = 3,109,692,540.11/83,884.56
  6. Step 6: Final answer
    x = 37,071.10

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1.5x scale

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.