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Finding the Fourth Proportional to 32,091.95, 48,146.15 and 13,365.76

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Solution

The fourth proportional to 32,091.95, 48,146.15 and 13,365.76 is: 20,052.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,091.95 : 48,146.15 = 13,365.76 : x
  2. Step 2: Convert to fraction form
    32,091.95/48,146.15 = 13,365.76/x
  3. Step 3: Cross multiply
    32,091.95x = 48,146.15 × 13,365.76
  4. Step 4: Simplify right side
    32,091.95x = 643,509,885.82
  5. Step 5: Solve for x
    x = 643,509,885.82/32,091.95
  6. Step 6: Final answer
    x = 20,052.07

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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.