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Finding the Fourth Proportional to 31,215.78, 46,817.56 and 25,984.39

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Solution

The fourth proportional to 31,215.78, 46,817.56 and 25,984.39 is: 38,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,215.78 : 46,817.56 = 25,984.39 : x
  2. Step 2: Convert to fraction form
    31,215.78/46,817.56 = 25,984.39/x
  3. Step 3: Cross multiply
    31,215.78x = 46,817.56 × 25,984.39
  4. Step 4: Simplify right side
    31,215.78x = 1,216,525,737.89
  5. Step 5: Solve for x
    x = 1,216,525,737.89/31,215.78
  6. Step 6: Final answer
    x = 38,971.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.