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Finding the Fourth Proportional to 36,456.60, 54,684.90 and 31,848.60

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Solution

The fourth proportional to 36,456.60, 54,684.90 and 31,848.60 is: 47,772.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,456.60 : 54,684.90 = 31,848.60 : x
  2. Step 2: Convert to fraction form
    36,456.60/54,684.90 = 31,848.60/x
  3. Step 3: Cross multiply
    36,456.60x = 54,684.90 × 31,848.60
  4. Step 4: Simplify right side
    36,456.60x = 1,741,637,506.14
  5. Step 5: Solve for x
    x = 1,741,637,506.14/36,456.60
  6. Step 6: Final answer
    x = 47,772.90

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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.