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Finding the Fourth Proportional to 38,482.78, 53,107.50 and 22,348.84

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Solution

The fourth proportional to 38,482.78, 53,107.50 and 22,348.84 is: 30,842.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,482.78 : 53,107.50 = 22,348.84 : x
  2. Step 2: Convert to fraction form
    38,482.78/53,107.50 = 22,348.84/x
  3. Step 3: Cross multiply
    38,482.78x = 53,107.50 × 22,348.84
  4. Step 4: Simplify right side
    38,482.78x = 1,186,891,020.30
  5. Step 5: Solve for x
    x = 1,186,891,020.30/38,482.78
  6. Step 6: Final answer
    x = 30,842.13

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