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Finding the Fourth Proportional to 32,473.20, 48,619.86 and 17,648.58

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Solution

The fourth proportional to 32,473.20, 48,619.86 and 17,648.58 is: 26,423.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,473.20 : 48,619.86 = 17,648.58 : x
  2. Step 2: Convert to fraction form
    32,473.20/48,619.86 = 17,648.58/x
  3. Step 3: Cross multiply
    32,473.20x = 48,619.86 × 17,648.58
  4. Step 4: Simplify right side
    32,473.20x = 858,071,488.80
  5. Step 5: Solve for x
    x = 858,071,488.80/32,473.20
  6. Step 6: Final answer
    x = 26,423.99

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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.