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Finding the Fourth Proportional to 59,861, 89,825.74 and 30,281.24

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Solution

The fourth proportional to 59,861, 89,825.74 and 30,281.24 is: 45,439.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,861 : 89,825.74 = 30,281.24 : x
  2. Step 2: Convert to fraction form
    59,861/89,825.74 = 30,281.24/x
  3. Step 3: Cross multiply
    59,861x = 89,825.74 × 30,281.24
  4. Step 4: Simplify right side
    59,861x = 2,720,034,791.12
  5. Step 5: Solve for x
    x = 2,720,034,791.12/59,861
  6. Step 6: Final answer
    x = 45,439.18

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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.