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Finding the Fourth Proportional to 32,218.56, 48,335.52 and 13,752

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Solution

The fourth proportional to 32,218.56, 48,335.52 and 13,752 is: 20,631.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,218.56 : 48,335.52 = 13,752 : x
  2. Step 2: Convert to fraction form
    32,218.56/48,335.52 = 13,752/x
  3. Step 3: Cross multiply
    32,218.56x = 48,335.52 × 13,752
  4. Step 4: Simplify right side
    32,218.56x = 664,710,071.04
  5. Step 5: Solve for x
    x = 664,710,071.04/32,218.56
  6. Step 6: Final answer
    x = 20,631.28

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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.