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Finding the Fourth Proportional to 87,164, 130,765.44 and 31,760

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Solution

The fourth proportional to 87,164, 130,765.44 and 31,760 is: 47,647.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,164 : 130,765.44 = 31,760 : x
  2. Step 2: Convert to fraction form
    87,164/130,765.44 = 31,760/x
  3. Step 3: Cross multiply
    87,164x = 130,765.44 × 31,760
  4. Step 4: Simplify right side
    87,164x = 4,153,110,374.40
  5. Step 5: Solve for x
    x = 4,153,110,374.40/87,164
  6. Step 6: Final answer
    x = 47,647.08

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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.