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Finding the Fourth Proportional to 32,393.76, 48,617.04 and 16,815.84

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Solution

The fourth proportional to 32,393.76, 48,617.04 and 16,815.84 is: 25,237.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,393.76 : 48,617.04 = 16,815.84 : x
  2. Step 2: Convert to fraction form
    32,393.76/48,617.04 = 16,815.84/x
  3. Step 3: Cross multiply
    32,393.76x = 48,617.04 × 16,815.84
  4. Step 4: Simplify right side
    32,393.76x = 817,536,365.91
  5. Step 5: Solve for x
    x = 817,536,365.91/32,393.76
  6. Step 6: Final answer
    x = 25,237.46

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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.