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Finding the Fourth Proportional to 83,054.64, 114,611.76 and 47,240.40

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Solution

The fourth proportional to 83,054.64, 114,611.76 and 47,240.40 is: 65,189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,054.64 : 114,611.76 = 47,240.40 : x
  2. Step 2: Convert to fraction form
    83,054.64/114,611.76 = 47,240.40/x
  3. Step 3: Cross multiply
    83,054.64x = 114,611.76 × 47,240.40
  4. Step 4: Simplify right side
    83,054.64x = 5,414,305,387.10
  5. Step 5: Solve for x
    x = 5,414,305,387.10/83,054.64
  6. Step 6: Final answer
    x = 65,189.68

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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.