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Finding the Fourth Proportional to 39,777.92, 54,894.76 and 22,782.24

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Solution

The fourth proportional to 39,777.92, 54,894.76 and 22,782.24 is: 31,440.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,777.92 : 54,894.76 = 22,782.24 : x
  2. Step 2: Convert to fraction form
    39,777.92/54,894.76 = 22,782.24/x
  3. Step 3: Cross multiply
    39,777.92x = 54,894.76 × 22,782.24
  4. Step 4: Simplify right side
    39,777.92x = 1,250,625,597.06
  5. Step 5: Solve for x
    x = 1,250,625,597.06/39,777.92
  6. Step 6: Final answer
    x = 31,440.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.