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Finding the Fourth Proportional to 65,762.52, 98,582.20 and 32,021.16

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Solution

The fourth proportional to 65,762.52, 98,582.20 and 32,021.16 is: 48,001.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,762.52 : 98,582.20 = 32,021.16 : x
  2. Step 2: Convert to fraction form
    65,762.52/98,582.20 = 32,021.16/x
  3. Step 3: Cross multiply
    65,762.52x = 98,582.20 × 32,021.16
  4. Step 4: Simplify right side
    65,762.52x = 3,156,716,399.35
  5. Step 5: Solve for x
    x = 3,156,716,399.35/65,762.52
  6. Step 6: Final answer
    x = 48,001.76

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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.