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Finding the Fourth Proportional to 83,701.08, 115,509.42 and 45,976.14

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Solution

The fourth proportional to 83,701.08, 115,509.42 and 45,976.14 is: 63,448.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,701.08 : 115,509.42 = 45,976.14 : x
  2. Step 2: Convert to fraction form
    83,701.08/115,509.42 = 45,976.14/x
  3. Step 3: Cross multiply
    83,701.08x = 115,509.42 × 45,976.14
  4. Step 4: Simplify right side
    83,701.08x = 5,310,677,265.24
  5. Step 5: Solve for x
    x = 5,310,677,265.24/83,701.08
  6. Step 6: Final answer
    x = 63,448.13

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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.