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Finding the Fourth Proportional to 38,535.36, 57,805.08 and 12,242.16

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Solution

The fourth proportional to 38,535.36, 57,805.08 and 12,242.16 is: 18,363.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,535.36 : 57,805.08 = 12,242.16 : x
  2. Step 2: Convert to fraction form
    38,535.36/57,805.08 = 12,242.16/x
  3. Step 3: Cross multiply
    38,535.36x = 57,805.08 × 12,242.16
  4. Step 4: Simplify right side
    38,535.36x = 707,659,038.17
  5. Step 5: Solve for x
    x = 707,659,038.17/38,535.36
  6. Step 6: Final answer
    x = 18,363.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.