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Finding the Fourth Proportional to 65,663.28, 98,525.70 and 32,365.20

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Solution

The fourth proportional to 65,663.28, 98,525.70 and 32,365.20 is: 48,562.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,663.28 : 98,525.70 = 32,365.20 : x
  2. Step 2: Convert to fraction form
    65,663.28/98,525.70 = 32,365.20/x
  3. Step 3: Cross multiply
    65,663.28x = 98,525.70 × 32,365.20
  4. Step 4: Simplify right side
    65,663.28x = 3,188,803,985.64
  5. Step 5: Solve for x
    x = 3,188,803,985.64/65,663.28
  6. Step 6: Final answer
    x = 48,562.97

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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.