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Finding the Fourth Proportional to 71,357.31, 107,027.75 and 23,970.48

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Solution

The fourth proportional to 71,357.31, 107,027.75 and 23,970.48 is: 35,952.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,357.31 : 107,027.75 = 23,970.48 : x
  2. Step 2: Convert to fraction form
    71,357.31/107,027.75 = 23,970.48/x
  3. Step 3: Cross multiply
    71,357.31x = 107,027.75 × 23,970.48
  4. Step 4: Simplify right side
    71,357.31x = 2,565,506,420.97
  5. Step 5: Solve for x
    x = 2,565,506,420.97/71,357.31
  6. Step 6: Final answer
    x = 35,952.96

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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.