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Finding the Fourth Proportional to 83,218.88, 114,842.40 and 47,410.40

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Solution

The fourth proportional to 83,218.88, 114,842.40 and 47,410.40 is: 65,426.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,218.88 : 114,842.40 = 47,410.40 : x
  2. Step 2: Convert to fraction form
    83,218.88/114,842.40 = 47,410.40/x
  3. Step 3: Cross multiply
    83,218.88x = 114,842.40 × 47,410.40
  4. Step 4: Simplify right side
    83,218.88x = 5,444,724,120.96
  5. Step 5: Solve for x
    x = 5,444,724,120.96/83,218.88
  6. Step 6: Final answer
    x = 65,426.55

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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.