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Finding the Fourth Proportional to 32,091.45, 48,119.39 and 13,129.40

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Solution

The fourth proportional to 32,091.45, 48,119.39 and 13,129.40 is: 19,686.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,091.45 : 48,119.39 = 13,129.40 : x
  2. Step 2: Convert to fraction form
    32,091.45/48,119.39 = 13,129.40/x
  3. Step 3: Cross multiply
    32,091.45x = 48,119.39 × 13,129.40
  4. Step 4: Simplify right side
    32,091.45x = 631,778,719.07
  5. Step 5: Solve for x
    x = 631,778,719.07/32,091.45
  6. Step 6: Final answer
    x = 19,686.82

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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.