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Finding the Fourth Proportional to 72,752.85, 109,085.33 and 27,777.20

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Solution

The fourth proportional to 72,752.85, 109,085.33 and 27,777.20 is: 41,649.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,752.85 : 109,085.33 = 27,777.20 : x
  2. Step 2: Convert to fraction form
    72,752.85/109,085.33 = 27,777.20/x
  3. Step 3: Cross multiply
    72,752.85x = 109,085.33 × 27,777.20
  4. Step 4: Simplify right side
    72,752.85x = 3,030,084,552.49
  5. Step 5: Solve for x
    x = 3,030,084,552.49/72,752.85
  6. Step 6: Final answer
    x = 41,649.02

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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.