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Finding the Fourth Proportional to 32,676.32, 49,022.70 and 9,302.78

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Solution

The fourth proportional to 32,676.32, 49,022.70 and 9,302.78 is: 13,956.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,676.32 : 49,022.70 = 9,302.78 : x
  2. Step 2: Convert to fraction form
    32,676.32/49,022.70 = 9,302.78/x
  3. Step 3: Cross multiply
    32,676.32x = 49,022.70 × 9,302.78
  4. Step 4: Simplify right side
    32,676.32x = 456,047,393.11
  5. Step 5: Solve for x
    x = 456,047,393.11/32,676.32
  6. Step 6: Final answer
    x = 13,956.51

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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.