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Finding the Fourth Proportional to 38,842.12, 53,602.50 and 22,075.24

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Solution

The fourth proportional to 38,842.12, 53,602.50 and 22,075.24 is: 30,464.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,842.12 : 53,602.50 = 22,075.24 : x
  2. Step 2: Convert to fraction form
    38,842.12/53,602.50 = 22,075.24/x
  3. Step 3: Cross multiply
    38,842.12x = 53,602.50 × 22,075.24
  4. Step 4: Simplify right side
    38,842.12x = 1,183,288,052.10
  5. Step 5: Solve for x
    x = 1,183,288,052.10/38,842.12
  6. Step 6: Final answer
    x = 30,464.04

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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.