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Finding the Fourth Proportional to 65,219.90, 97,829.85 and 54,851.90

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Solution

The fourth proportional to 65,219.90, 97,829.85 and 54,851.90 is: 82,277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,219.90 : 97,829.85 = 54,851.90 : x
  2. Step 2: Convert to fraction form
    65,219.90/97,829.85 = 54,851.90/x
  3. Step 3: Cross multiply
    65,219.90x = 97,829.85 × 54,851.90
  4. Step 4: Simplify right side
    65,219.90x = 5,366,153,149.22
  5. Step 5: Solve for x
    x = 5,366,153,149.22/65,219.90
  6. Step 6: Final answer
    x = 82,277.85

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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.