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Finding the Fourth Proportional to 83,596.32, 115,359.44 and 45,868.16

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Solution

The fourth proportional to 83,596.32, 115,359.44 and 45,868.16 is: 63,296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,596.32 : 115,359.44 = 45,868.16 : x
  2. Step 2: Convert to fraction form
    83,596.32/115,359.44 = 45,868.16/x
  3. Step 3: Cross multiply
    83,596.32x = 115,359.44 × 45,868.16
  4. Step 4: Simplify right side
    83,596.32x = 5,291,325,251.43
  5. Step 5: Solve for x
    x = 5,291,325,251.43/83,596.32
  6. Step 6: Final answer
    x = 63,296.15

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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.