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Finding the Fourth Proportional to 77,228.80, 115,843.20 and 21,824.80

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Solution

The fourth proportional to 77,228.80, 115,843.20 and 21,824.80 is: 32,737.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,228.80 : 115,843.20 = 21,824.80 : x
  2. Step 2: Convert to fraction form
    77,228.80/115,843.20 = 21,824.80/x
  3. Step 3: Cross multiply
    77,228.80x = 115,843.20 × 21,824.80
  4. Step 4: Simplify right side
    77,228.80x = 2,528,254,671.36
  5. Step 5: Solve for x
    x = 2,528,254,671.36/77,228.80
  6. Step 6: Final answer
    x = 32,737.20

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1.5x scale

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.