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Finding the Fourth Proportional to 83,465.24, 115,118.46 and 71,843.24

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Solution

The fourth proportional to 83,465.24, 115,118.46 and 71,843.24 is: 99,088.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,465.24 : 115,118.46 = 71,843.24 : x
  2. Step 2: Convert to fraction form
    83,465.24/115,118.46 = 71,843.24/x
  3. Step 3: Cross multiply
    83,465.24x = 115,118.46 × 71,843.24
  4. Step 4: Simplify right side
    83,465.24x = 8,270,482,574.62
  5. Step 5: Solve for x
    x = 8,270,482,574.62/83,465.24
  6. Step 6: Final answer
    x = 99,088.95

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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.