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Finding the Fourth Proportional to 34,601, 51,905.15 and 15,877.85

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Solution

The fourth proportional to 34,601, 51,905.15 and 15,877.85 is: 23,818.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,601 : 51,905.15 = 15,877.85 : x
  2. Step 2: Convert to fraction form
    34,601/51,905.15 = 15,877.85/x
  3. Step 3: Cross multiply
    34,601x = 51,905.15 × 15,877.85
  4. Step 4: Simplify right side
    34,601x = 824,142,106.54
  5. Step 5: Solve for x
    x = 824,142,106.54/34,601
  6. Step 6: Final answer
    x = 23,818.45

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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.