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Finding the Fourth Proportional to 32,557.66, 48,843 and 13,837.54

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Solution

The fourth proportional to 32,557.66, 48,843 and 13,837.54 is: 20,759.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,557.66 : 48,843 = 13,837.54 : x
  2. Step 2: Convert to fraction form
    32,557.66/48,843 = 13,837.54/x
  3. Step 3: Cross multiply
    32,557.66x = 48,843 × 13,837.54
  4. Step 4: Simplify right side
    32,557.66x = 675,866,966.22
  5. Step 5: Solve for x
    x = 675,866,966.22/32,557.66
  6. Step 6: Final answer
    x = 20,759.08

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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.