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Finding the Fourth Proportional to 32,237.38, 47,966.04 and 31,433.86

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Solution

The fourth proportional to 32,237.38, 47,966.04 and 31,433.86 is: 46,770.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,237.38 : 47,966.04 = 31,433.86 : x
  2. Step 2: Convert to fraction form
    32,237.38/47,966.04 = 31,433.86/x
  3. Step 3: Cross multiply
    32,237.38x = 47,966.04 × 31,433.86
  4. Step 4: Simplify right side
    32,237.38x = 1,507,757,786.11
  5. Step 5: Solve for x
    x = 1,507,757,786.11/32,237.38
  6. Step 6: Final answer
    x = 46,770.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.