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Finding the Fourth Proportional to 65,241.80, 97,862.70 and 52,022.60

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Solution

The fourth proportional to 65,241.80, 97,862.70 and 52,022.60 is: 78,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,241.80 : 97,862.70 = 52,022.60 : x
  2. Step 2: Convert to fraction form
    65,241.80/97,862.70 = 52,022.60/x
  3. Step 3: Cross multiply
    65,241.80x = 97,862.70 × 52,022.60
  4. Step 4: Simplify right side
    65,241.80x = 5,091,072,097.02
  5. Step 5: Solve for x
    x = 5,091,072,097.02/65,241.80
  6. Step 6: Final answer
    x = 78,033.90

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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.