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Finding the Fourth Proportional to 32,508.54, 48,728.25 and 13,798.62

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Solution

The fourth proportional to 32,508.54, 48,728.25 and 13,798.62 is: 20,683.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,508.54 : 48,728.25 = 13,798.62 : x
  2. Step 2: Convert to fraction form
    32,508.54/48,728.25 = 13,798.62/x
  3. Step 3: Cross multiply
    32,508.54x = 48,728.25 × 13,798.62
  4. Step 4: Simplify right side
    32,508.54x = 672,382,605.02
  5. Step 5: Solve for x
    x = 672,382,605.02/32,508.54
  6. Step 6: Final answer
    x = 20,683.26

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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.