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Finding the Fourth Proportional to 34,422.52, 51,638.94 and 14,701

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Solution

The fourth proportional to 34,422.52, 51,638.94 and 14,701 is: 22,053.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,422.52 : 51,638.94 = 14,701 : x
  2. Step 2: Convert to fraction form
    34,422.52/51,638.94 = 14,701/x
  3. Step 3: Cross multiply
    34,422.52x = 51,638.94 × 14,701
  4. Step 4: Simplify right side
    34,422.52x = 759,144,056.94
  5. Step 5: Solve for x
    x = 759,144,056.94/34,422.52
  6. Step 6: Final answer
    x = 22,053.70

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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.