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Finding the Fourth Proportional to 38,857.60, 53,643 and 22,947.04

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Solution

The fourth proportional to 38,857.60, 53,643 and 22,947.04 is: 31,678.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,857.60 : 53,643 = 22,947.04 : x
  2. Step 2: Convert to fraction form
    38,857.60/53,643 = 22,947.04/x
  3. Step 3: Cross multiply
    38,857.60x = 53,643 × 22,947.04
  4. Step 4: Simplify right side
    38,857.60x = 1,230,948,066.72
  5. Step 5: Solve for x
    x = 1,230,948,066.72/38,857.60
  6. Step 6: Final answer
    x = 31,678.44

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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.