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Finding the Fourth Proportional to 65,332.80, 98,048.52 and 47,847.96

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Solution

The fourth proportional to 65,332.80, 98,048.52 and 47,847.96 is: 71,808.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,332.80 : 98,048.52 = 47,847.96 : x
  2. Step 2: Convert to fraction form
    65,332.80/98,048.52 = 47,847.96/x
  3. Step 3: Cross multiply
    65,332.80x = 98,048.52 × 47,847.96
  4. Step 4: Simplify right side
    65,332.80x = 4,691,421,663.02
  5. Step 5: Solve for x
    x = 4,691,421,663.02/65,332.80
  6. Step 6: Final answer
    x = 71,808.06

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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.