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Finding the Fourth Proportional to 48,442.40, 72,667.82 and 13,382.09

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Solution

The fourth proportional to 48,442.40, 72,667.82 and 13,382.09 is: 20,074.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,442.40 : 72,667.82 = 13,382.09 : x
  2. Step 2: Convert to fraction form
    48,442.40/72,667.82 = 13,382.09/x
  3. Step 3: Cross multiply
    48,442.40x = 72,667.82 × 13,382.09
  4. Step 4: Simplify right side
    48,442.40x = 972,447,307.34
  5. Step 5: Solve for x
    x = 972,447,307.34/48,442.40
  6. Step 6: Final answer
    x = 20,074.30

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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.