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Finding the Fourth Proportional to 33,000.96, 49,492.16 and 9,306.88

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Solution

The fourth proportional to 33,000.96, 49,492.16 and 9,306.88 is: 13,957.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,000.96 : 49,492.16 = 9,306.88 : x
  2. Step 2: Convert to fraction form
    33,000.96/49,492.16 = 9,306.88/x
  3. Step 3: Cross multiply
    33,000.96x = 49,492.16 × 9,306.88
  4. Step 4: Simplify right side
    33,000.96x = 460,617,594.06
  5. Step 5: Solve for x
    x = 460,617,594.06/33,000.96
  6. Step 6: Final answer
    x = 13,957.70

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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.