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Finding the Fourth Proportional to 72,010.20, 108,015.30 and 65,443.80

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Solution

The fourth proportional to 72,010.20, 108,015.30 and 65,443.80 is: 98,165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,010.20 : 108,015.30 = 65,443.80 : x
  2. Step 2: Convert to fraction form
    72,010.20/108,015.30 = 65,443.80/x
  3. Step 3: Cross multiply
    72,010.20x = 108,015.30 × 65,443.80
  4. Step 4: Simplify right side
    72,010.20x = 7,068,931,690.14
  5. Step 5: Solve for x
    x = 7,068,931,690.14/72,010.20
  6. Step 6: Final answer
    x = 98,165.70

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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.