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Finding the Fourth Proportional to 34,314.69, 47,290.05 and 24,737.94

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Solution

The fourth proportional to 34,314.69, 47,290.05 and 24,737.94 is: 34,092.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,314.69 : 47,290.05 = 24,737.94 : x
  2. Step 2: Convert to fraction form
    34,314.69/47,290.05 = 24,737.94/x
  3. Step 3: Cross multiply
    34,314.69x = 47,290.05 × 24,737.94
  4. Step 4: Simplify right side
    34,314.69x = 1,169,858,419.50
  5. Step 5: Solve for x
    x = 1,169,858,419.50/34,314.69
  6. Step 6: Final answer
    x = 34,092.06

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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.