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Finding the Fourth Proportional to 83,878.92, 115,751.90 and 62,464.48

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Solution

The fourth proportional to 83,878.92, 115,751.90 and 62,464.48 is: 86,200.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,878.92 : 115,751.90 = 62,464.48 : x
  2. Step 2: Convert to fraction form
    83,878.92/115,751.90 = 62,464.48/x
  3. Step 3: Cross multiply
    83,878.92x = 115,751.90 × 62,464.48
  4. Step 4: Simplify right side
    83,878.92x = 7,230,382,242.51
  5. Step 5: Solve for x
    x = 7,230,382,242.51/83,878.92
  6. Step 6: Final answer
    x = 86,200.23

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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.