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Finding the Fourth Proportional to 71,908.32, 107,867.50 and 21,984.58

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Solution

The fourth proportional to 71,908.32, 107,867.50 and 21,984.58 is: 32,978.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,908.32 : 107,867.50 = 21,984.58 : x
  2. Step 2: Convert to fraction form
    71,908.32/107,867.50 = 21,984.58/x
  3. Step 3: Cross multiply
    71,908.32x = 107,867.50 × 21,984.58
  4. Step 4: Simplify right side
    71,908.32x = 2,371,421,763.02
  5. Step 5: Solve for x
    x = 2,371,421,763.02/71,908.32
  6. Step 6: Final answer
    x = 32,978.40

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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.