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Finding the Fourth Proportional to 71,751.84, 107,628 and 24,972

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Solution

The fourth proportional to 71,751.84, 107,628 and 24,972 is: 37,458.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,751.84 : 107,628 = 24,972 : x
  2. Step 2: Convert to fraction form
    71,751.84/107,628 = 24,972/x
  3. Step 3: Cross multiply
    71,751.84x = 107,628 × 24,972
  4. Step 4: Simplify right side
    71,751.84x = 2,687,686,416
  5. Step 5: Solve for x
    x = 2,687,686,416/71,751.84
  6. Step 6: Final answer
    x = 37,458.08

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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.