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Finding the Fourth Proportional to 34,826.88, 48,062.40 and 19,920

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Solution

The fourth proportional to 34,826.88, 48,062.40 and 19,920 is: 27,490.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,826.88 : 48,062.40 = 19,920 : x
  2. Step 2: Convert to fraction form
    34,826.88/48,062.40 = 19,920/x
  3. Step 3: Cross multiply
    34,826.88x = 48,062.40 × 19,920
  4. Step 4: Simplify right side
    34,826.88x = 957,403,008
  5. Step 5: Solve for x
    x = 957,403,008/34,826.88
  6. Step 6: Final answer
    x = 27,490.35

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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.