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Finding the Fourth Proportional to 32,526.22, 48,792.58 and 8,834.14

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Solution

The fourth proportional to 32,526.22, 48,792.58 and 8,834.14 is: 13,252.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,526.22 : 48,792.58 = 8,834.14 : x
  2. Step 2: Convert to fraction form
    32,526.22/48,792.58 = 8,834.14/x
  3. Step 3: Cross multiply
    32,526.22x = 48,792.58 × 8,834.14
  4. Step 4: Simplify right side
    32,526.22x = 431,040,482.68
  5. Step 5: Solve for x
    x = 431,040,482.68/32,526.22
  6. Step 6: Final answer
    x = 13,252.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.