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Finding the Fourth Proportional to 97,417.26, 146,008.26 and 47,422.44

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Solution

The fourth proportional to 97,417.26, 146,008.26 and 47,422.44 is: 71,076.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,417.26 : 146,008.26 = 47,422.44 : x
  2. Step 2: Convert to fraction form
    97,417.26/146,008.26 = 47,422.44/x
  3. Step 3: Cross multiply
    97,417.26x = 146,008.26 × 47,422.44
  4. Step 4: Simplify right side
    97,417.26x = 6,924,067,949.35
  5. Step 5: Solve for x
    x = 6,924,067,949.35/97,417.26
  6. Step 6: Final answer
    x = 71,076.40

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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.