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Finding the Fourth Proportional to 55,677.38, 76,832.96 and 31,798.98

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Solution

The fourth proportional to 55,677.38, 76,832.96 and 31,798.98 is: 43,881.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,677.38 : 76,832.96 = 31,798.98 : x
  2. Step 2: Convert to fraction form
    55,677.38/76,832.96 = 31,798.98/x
  3. Step 3: Cross multiply
    55,677.38x = 76,832.96 × 31,798.98
  4. Step 4: Simplify right side
    55,677.38x = 2,443,209,599.39
  5. Step 5: Solve for x
    x = 2,443,209,599.39/55,677.38
  6. Step 6: Final answer
    x = 43,881.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.