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Finding the Fourth Proportional to 32,091.95, 48,146.16 and 13,365.77

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Solution

The fourth proportional to 32,091.95, 48,146.16 and 13,365.77 is: 20,052.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,091.95 : 48,146.16 = 13,365.77 : x
  2. Step 2: Convert to fraction form
    32,091.95/48,146.16 = 13,365.77/x
  3. Step 3: Cross multiply
    32,091.95x = 48,146.16 × 13,365.77
  4. Step 4: Simplify right side
    32,091.95x = 643,510,260.21
  5. Step 5: Solve for x
    x = 643,510,260.21/32,091.95
  6. Step 6: Final answer
    x = 20,052.08

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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.