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Finding the Fourth Proportional to 81,885.90, 122,893.65 and 31,989.90

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Solution

The fourth proportional to 81,885.90, 122,893.65 and 31,989.90 is: 48,010.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,885.90 : 122,893.65 = 31,989.90 : x
  2. Step 2: Convert to fraction form
    81,885.90/122,893.65 = 31,989.90/x
  3. Step 3: Cross multiply
    81,885.90x = 122,893.65 × 31,989.90
  4. Step 4: Simplify right side
    81,885.90x = 3,931,355,574.14
  5. Step 5: Solve for x
    x = 3,931,355,574.14/81,885.90
  6. Step 6: Final answer
    x = 48,010.17

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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.