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Finding the Fourth Proportional to 78,002.80, 117,004.20 and 62,969.20

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Solution

The fourth proportional to 78,002.80, 117,004.20 and 62,969.20 is: 94,453.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,002.80 : 117,004.20 = 62,969.20 : x
  2. Step 2: Convert to fraction form
    78,002.80/117,004.20 = 62,969.20/x
  3. Step 3: Cross multiply
    78,002.80x = 117,004.20 × 62,969.20
  4. Step 4: Simplify right side
    78,002.80x = 7,367,660,870.64
  5. Step 5: Solve for x
    x = 7,367,660,870.64/78,002.80
  6. Step 6: Final answer
    x = 94,453.80

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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.