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Finding the Fourth Proportional to 71,752.88, 107,628.16 and 32,282.08

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Solution

The fourth proportional to 71,752.88, 107,628.16 and 32,282.08 is: 48,422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,752.88 : 107,628.16 = 32,282.08 : x
  2. Step 2: Convert to fraction form
    71,752.88/107,628.16 = 32,282.08/x
  3. Step 3: Cross multiply
    71,752.88x = 107,628.16 × 32,282.08
  4. Step 4: Simplify right side
    71,752.88x = 3,474,460,871.37
  5. Step 5: Solve for x
    x = 3,474,460,871.37/71,752.88
  6. Step 6: Final answer
    x = 48,422.60

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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.