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Finding the Fourth Proportional to 65,333.80, 98,050.02 and 47,848.96

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Solution

The fourth proportional to 65,333.80, 98,050.02 and 47,848.96 is: 71,809.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,333.80 : 98,050.02 = 47,848.96 : x
  2. Step 2: Convert to fraction form
    65,333.80/98,050.02 = 47,848.96/x
  3. Step 3: Cross multiply
    65,333.80x = 98,050.02 × 47,848.96
  4. Step 4: Simplify right side
    65,333.80x = 4,691,591,484.98
  5. Step 5: Solve for x
    x = 4,691,591,484.98/65,333.80
  6. Step 6: Final answer
    x = 71,809.56

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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.