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Finding the Fourth Proportional to 32,676.57, 49,013.76 and 9,303.02

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Solution

The fourth proportional to 32,676.57, 49,013.76 and 9,303.02 is: 13,954.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,676.57 : 49,013.76 = 9,303.02 : x
  2. Step 2: Convert to fraction form
    32,676.57/49,013.76 = 9,303.02/x
  3. Step 3: Cross multiply
    32,676.57x = 49,013.76 × 9,303.02
  4. Step 4: Simplify right side
    32,676.57x = 455,975,744.49
  5. Step 5: Solve for x
    x = 455,975,744.49/32,676.57
  6. Step 6: Final answer
    x = 13,954.21

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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.