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Finding the Fourth Proportional to 31,128.50, 42,957.33 and 19,950.50

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Solution

The fourth proportional to 31,128.50, 42,957.33 and 19,950.50 is: 27,531.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,128.50 : 42,957.33 = 19,950.50 : x
  2. Step 2: Convert to fraction form
    31,128.50/42,957.33 = 19,950.50/x
  3. Step 3: Cross multiply
    31,128.50x = 42,957.33 × 19,950.50
  4. Step 4: Simplify right side
    31,128.50x = 857,020,212.17
  5. Step 5: Solve for x
    x = 857,020,212.17/31,128.50
  6. Step 6: Final answer
    x = 27,531.69

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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.