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Finding the Fourth Proportional to 83,967.87, 115,870.40 and 46,242.12

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Solution

The fourth proportional to 83,967.87, 115,870.40 and 46,242.12 is: 63,811.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,967.87 : 115,870.40 = 46,242.12 : x
  2. Step 2: Convert to fraction form
    83,967.87/115,870.40 = 46,242.12/x
  3. Step 3: Cross multiply
    83,967.87x = 115,870.40 × 46,242.12
  4. Step 4: Simplify right side
    83,967.87x = 5,358,092,680.14
  5. Step 5: Solve for x
    x = 5,358,092,680.14/83,967.87
  6. Step 6: Final answer
    x = 63,811.23

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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.