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Finding the Fourth Proportional to 83,866.50, 115,738.20 and 46,143.18

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Solution

The fourth proportional to 83,866.50, 115,738.20 and 46,143.18 is: 63,678.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,866.50 : 115,738.20 = 46,143.18 : x
  2. Step 2: Convert to fraction form
    83,866.50/115,738.20 = 46,143.18/x
  3. Step 3: Cross multiply
    83,866.50x = 115,738.20 × 46,143.18
  4. Step 4: Simplify right side
    83,866.50x = 5,340,528,595.48
  5. Step 5: Solve for x
    x = 5,340,528,595.48/83,866.50
  6. Step 6: Final answer
    x = 63,678.93

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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.