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Finding the Fourth Proportional to 32,878.26, 49,324.68 and 9,502.92

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Solution

The fourth proportional to 32,878.26, 49,324.68 and 9,502.92 is: 14,256.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,878.26 : 49,324.68 = 9,502.92 : x
  2. Step 2: Convert to fraction form
    32,878.26/49,324.68 = 9,502.92/x
  3. Step 3: Cross multiply
    32,878.26x = 49,324.68 × 9,502.92
  4. Step 4: Simplify right side
    32,878.26x = 468,728,488.07
  5. Step 5: Solve for x
    x = 468,728,488.07/32,878.26
  6. Step 6: Final answer
    x = 14,256.49

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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.