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Finding the Fourth Proportional to 58,848.71, 81,207.81 and 31,991

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Solution

The fourth proportional to 58,848.71, 81,207.81 and 31,991 is: 44,145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,848.71 : 81,207.81 = 31,991 : x
  2. Step 2: Convert to fraction form
    58,848.71/81,207.81 = 31,991/x
  3. Step 3: Cross multiply
    58,848.71x = 81,207.81 × 31,991
  4. Step 4: Simplify right side
    58,848.71x = 2,597,919,049.71
  5. Step 5: Solve for x
    x = 2,597,919,049.71/58,848.71
  6. Step 6: Final answer
    x = 44,145.73

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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.