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Finding the Fourth Proportional to 31,203.96, 46,764.54 and 13,654.68

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Solution

The fourth proportional to 31,203.96, 46,764.54 and 13,654.68 is: 20,463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,203.96 : 46,764.54 = 13,654.68 : x
  2. Step 2: Convert to fraction form
    31,203.96/46,764.54 = 13,654.68/x
  3. Step 3: Cross multiply
    31,203.96x = 46,764.54 × 13,654.68
  4. Step 4: Simplify right side
    31,203.96x = 638,554,829.05
  5. Step 5: Solve for x
    x = 638,554,829.05/31,203.96
  6. Step 6: Final answer
    x = 20,463.90

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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.