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Finding the Fourth Proportional to 38,643.60, 53,340.84 and 22,727.28

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Solution

The fourth proportional to 38,643.60, 53,340.84 and 22,727.28 is: 31,371.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,643.60 : 53,340.84 = 22,727.28 : x
  2. Step 2: Convert to fraction form
    38,643.60/53,340.84 = 22,727.28/x
  3. Step 3: Cross multiply
    38,643.60x = 53,340.84 × 22,727.28
  4. Step 4: Simplify right side
    38,643.60x = 1,212,292,206.12
  5. Step 5: Solve for x
    x = 1,212,292,206.12/38,643.60
  6. Step 6: Final answer
    x = 31,371.10

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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.