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Finding the Fourth Proportional to 32,002.48, 48,017.52 and 17,194.06

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Solution

The fourth proportional to 32,002.48, 48,017.52 and 17,194.06 is: 25,798.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.48 : 48,017.52 = 17,194.06 : x
  2. Step 2: Convert to fraction form
    32,002.48/48,017.52 = 17,194.06/x
  3. Step 3: Cross multiply
    32,002.48x = 48,017.52 × 17,194.06
  4. Step 4: Simplify right side
    32,002.48x = 825,616,119.93
  5. Step 5: Solve for x
    x = 825,616,119.93/32,002.48
  6. Step 6: Final answer
    x = 25,798.50

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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.