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Finding the Fourth Proportional to 34,178.26, 47,165.94 and 19,070

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Solution

The fourth proportional to 34,178.26, 47,165.94 and 19,070 is: 26,316.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,178.26 : 47,165.94 = 19,070 : x
  2. Step 2: Convert to fraction form
    34,178.26/47,165.94 = 19,070/x
  3. Step 3: Cross multiply
    34,178.26x = 47,165.94 × 19,070
  4. Step 4: Simplify right side
    34,178.26x = 899,454,475.80
  5. Step 5: Solve for x
    x = 899,454,475.80/34,178.26
  6. Step 6: Final answer
    x = 26,316.57

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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.