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Finding the Fourth Proportional to 48,414.67, 72,625.63 and 13,354

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Solution

The fourth proportional to 48,414.67, 72,625.63 and 13,354 is: 20,032.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,414.67 : 72,625.63 = 13,354 : x
  2. Step 2: Convert to fraction form
    48,414.67/72,625.63 = 13,354/x
  3. Step 3: Cross multiply
    48,414.67x = 72,625.63 × 13,354
  4. Step 4: Simplify right side
    48,414.67x = 969,842,663.02
  5. Step 5: Solve for x
    x = 969,842,663.02/48,414.67
  6. Step 6: Final answer
    x = 20,032.00

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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.