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Finding the Fourth Proportional to 32,302.67, 48,390.81 and 21,175.40

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Solution

The fourth proportional to 32,302.67, 48,390.81 and 21,175.40 is: 31,721.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,302.67 : 48,390.81 = 21,175.40 : x
  2. Step 2: Convert to fraction form
    32,302.67/48,390.81 = 21,175.40/x
  3. Step 3: Cross multiply
    32,302.67x = 48,390.81 × 21,175.40
  4. Step 4: Simplify right side
    32,302.67x = 1,024,694,758.07
  5. Step 5: Solve for x
    x = 1,024,694,758.07/32,302.67
  6. Step 6: Final answer
    x = 31,721.67

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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.