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Finding the Fourth Proportional to 52,101.22, 71,899.72 and 30,586.76

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Solution

The fourth proportional to 52,101.22, 71,899.72 and 30,586.76 is: 42,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,101.22 : 71,899.72 = 30,586.76 : x
  2. Step 2: Convert to fraction form
    52,101.22/71,899.72 = 30,586.76/x
  3. Step 3: Cross multiply
    52,101.22x = 71,899.72 × 30,586.76
  4. Step 4: Simplify right side
    52,101.22x = 2,199,179,479.71
  5. Step 5: Solve for x
    x = 2,199,179,479.71/52,101.22
  6. Step 6: Final answer
    x = 42,209.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.