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Finding the Fourth Proportional to 65,582.16, 98,314.80 and 24,019.44

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Solution

The fourth proportional to 65,582.16, 98,314.80 and 24,019.44 is: 36,007.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,582.16 : 98,314.80 = 24,019.44 : x
  2. Step 2: Convert to fraction form
    65,582.16/98,314.80 = 24,019.44/x
  3. Step 3: Cross multiply
    65,582.16x = 98,314.80 × 24,019.44
  4. Step 4: Simplify right side
    65,582.16x = 2,361,466,439.71
  5. Step 5: Solve for x
    x = 2,361,466,439.71/65,582.16
  6. Step 6: Final answer
    x = 36,007.76

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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.