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Finding the Fourth Proportional to 83,079.51, 114,650.19 and 47,269.52

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Solution

The fourth proportional to 83,079.51, 114,650.19 and 47,269.52 is: 65,232.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,079.51 : 114,650.19 = 47,269.52 : x
  2. Step 2: Convert to fraction form
    83,079.51/114,650.19 = 47,269.52/x
  3. Step 3: Cross multiply
    83,079.51x = 114,650.19 × 47,269.52
  4. Step 4: Simplify right side
    83,079.51x = 5,419,458,639.61
  5. Step 5: Solve for x
    x = 5,419,458,639.61/83,079.51
  6. Step 6: Final answer
    x = 65,232.20

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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.