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Finding the Fourth Proportional to 34,606.28, 47,706.90 and 24,653

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Solution

The fourth proportional to 34,606.28, 47,706.90 and 24,653 is: 33,985.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,606.28 : 47,706.90 = 24,653 : x
  2. Step 2: Convert to fraction form
    34,606.28/47,706.90 = 24,653/x
  3. Step 3: Cross multiply
    34,606.28x = 47,706.90 × 24,653
  4. Step 4: Simplify right side
    34,606.28x = 1,176,118,205.70
  5. Step 5: Solve for x
    x = 1,176,118,205.70/34,606.28
  6. Step 6: Final answer
    x = 33,985.69

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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.