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Finding the Fourth Proportional to 63,094.16, 94,524.60 and 31,854.80

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Solution

The fourth proportional to 63,094.16, 94,524.60 and 31,854.80 is: 47,723.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,094.16 : 94,524.60 = 31,854.80 : x
  2. Step 2: Convert to fraction form
    63,094.16/94,524.60 = 31,854.80/x
  3. Step 3: Cross multiply
    63,094.16x = 94,524.60 × 31,854.80
  4. Step 4: Simplify right side
    63,094.16x = 3,011,062,228.08
  5. Step 5: Solve for x
    x = 3,011,062,228.08/63,094.16
  6. Step 6: Final answer
    x = 47,723.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.