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Finding the Fourth Proportional to 65,350.80, 97,783.20 and 47,854.80

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Solution

The fourth proportional to 65,350.80, 97,783.20 and 47,854.80 is: 71,604.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,350.80 : 97,783.20 = 47,854.80 : x
  2. Step 2: Convert to fraction form
    65,350.80/97,783.20 = 47,854.80/x
  3. Step 3: Cross multiply
    65,350.80x = 97,783.20 × 47,854.80
  4. Step 4: Simplify right side
    65,350.80x = 4,679,395,479.36
  5. Step 5: Solve for x
    x = 4,679,395,479.36/65,350.80
  6. Step 6: Final answer
    x = 71,604.26

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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.