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Finding the Fourth Proportional to 32,626.40, 48,941.46 and 9,251

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Solution

The fourth proportional to 32,626.40, 48,941.46 and 9,251 is: 13,877.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,626.40 : 48,941.46 = 9,251 : x
  2. Step 2: Convert to fraction form
    32,626.40/48,941.46 = 9,251/x
  3. Step 3: Cross multiply
    32,626.40x = 48,941.46 × 9,251
  4. Step 4: Simplify right side
    32,626.40x = 452,757,446.46
  5. Step 5: Solve for x
    x = 452,757,446.46/32,626.40
  6. Step 6: Final answer
    x = 13,877.03

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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.