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Finding the Fourth Proportional to 31,877.02, 47,815.14 and 14,334.46

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Solution

The fourth proportional to 31,877.02, 47,815.14 and 14,334.46 is: 21,501.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,877.02 : 47,815.14 = 14,334.46 : x
  2. Step 2: Convert to fraction form
    31,877.02/47,815.14 = 14,334.46/x
  3. Step 3: Cross multiply
    31,877.02x = 47,815.14 × 14,334.46
  4. Step 4: Simplify right side
    31,877.02x = 685,404,211.72
  5. Step 5: Solve for x
    x = 685,404,211.72/31,877.02
  6. Step 6: Final answer
    x = 21,501.51

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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.