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Finding the Fourth Proportional to 99,971.78, 150,031.50 and 47,381.42

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Solution

The fourth proportional to 99,971.78, 150,031.50 and 47,381.42 is: 71,107.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,971.78 : 150,031.50 = 47,381.42 : x
  2. Step 2: Convert to fraction form
    99,971.78/150,031.50 = 47,381.42/x
  3. Step 3: Cross multiply
    99,971.78x = 150,031.50 × 47,381.42
  4. Step 4: Simplify right side
    99,971.78x = 7,108,705,514.73
  5. Step 5: Solve for x
    x = 7,108,705,514.73/99,971.78
  6. Step 6: Final answer
    x = 71,107.12

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