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Finding the Fourth Proportional to 55,039.32, 75,956.94 and 31,167

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Solution

The fourth proportional to 55,039.32, 75,956.94 and 31,167 is: 43,011.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,039.32 : 75,956.94 = 31,167 : x
  2. Step 2: Convert to fraction form
    55,039.32/75,956.94 = 31,167/x
  3. Step 3: Cross multiply
    55,039.32x = 75,956.94 × 31,167
  4. Step 4: Simplify right side
    55,039.32x = 2,367,349,948.98
  5. Step 5: Solve for x
    x = 2,367,349,948.98/55,039.32
  6. Step 6: Final answer
    x = 43,011.98

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