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Finding the Fourth Proportional to 38,080.58, 52,534.65 and 22,964.84

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Solution

The fourth proportional to 38,080.58, 52,534.65 and 22,964.84 is: 31,681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,080.58 : 52,534.65 = 22,964.84 : x
  2. Step 2: Convert to fraction form
    38,080.58/52,534.65 = 22,964.84/x
  3. Step 3: Cross multiply
    38,080.58x = 52,534.65 × 22,964.84
  4. Step 4: Simplify right side
    38,080.58x = 1,206,449,454.21
  5. Step 5: Solve for x
    x = 1,206,449,454.21/38,080.58
  6. Step 6: Final answer
    x = 31,681.49

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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.