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Finding the Fourth Proportional to 32,746.26, 49,121.80 and 9,374.52

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Solution

The fourth proportional to 32,746.26, 49,121.80 and 9,374.52 is: 14,062.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,746.26 : 49,121.80 = 9,374.52 : x
  2. Step 2: Convert to fraction form
    32,746.26/49,121.80 = 9,374.52/x
  3. Step 3: Cross multiply
    32,746.26x = 49,121.80 × 9,374.52
  4. Step 4: Simplify right side
    32,746.26x = 460,493,296.54
  5. Step 5: Solve for x
    x = 460,493,296.54/32,746.26
  6. Step 6: Final answer
    x = 14,062.47

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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.