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Finding the Fourth Proportional to 32,048.26, 48,066.72 and 8,676.52

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Solution

The fourth proportional to 32,048.26, 48,066.72 and 8,676.52 is: 13,013.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,048.26 : 48,066.72 = 8,676.52 : x
  2. Step 2: Convert to fraction form
    32,048.26/48,066.72 = 8,676.52/x
  3. Step 3: Cross multiply
    32,048.26x = 48,066.72 × 8,676.52
  4. Step 4: Simplify right side
    32,048.26x = 417,051,704.71
  5. Step 5: Solve for x
    x = 417,051,704.71/32,048.26
  6. Step 6: Final answer
    x = 13,013.24

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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.