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Finding the Fourth Proportional to 71,424, 98,565.12 and 41,621.76

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Solution

The fourth proportional to 71,424, 98,565.12 and 41,621.76 is: 57,438.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,424 : 98,565.12 = 41,621.76 : x
  2. Step 2: Convert to fraction form
    71,424/98,565.12 = 41,621.76/x
  3. Step 3: Cross multiply
    71,424x = 98,565.12 × 41,621.76
  4. Step 4: Simplify right side
    71,424x = 4,102,453,769.01
  5. Step 5: Solve for x
    x = 4,102,453,769.01/71,424
  6. Step 6: Final answer
    x = 57,438.03

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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.