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Finding the Fourth Proportional to 32,097.81, 48,132.11 and 13,366.67

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Solution

The fourth proportional to 32,097.81, 48,132.11 and 13,366.67 is: 20,043.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.81 : 48,132.11 = 13,366.67 : x
  2. Step 2: Convert to fraction form
    32,097.81/48,132.11 = 13,366.67/x
  3. Step 3: Cross multiply
    32,097.81x = 48,132.11 × 13,366.67
  4. Step 4: Simplify right side
    32,097.81x = 643,366,075.48
  5. Step 5: Solve for x
    x = 643,366,075.48/32,097.81
  6. Step 6: Final answer
    x = 20,043.92

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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.