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Finding the Fourth Proportional to 34,317, 47,358.46 and 19,209.61

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Solution

The fourth proportional to 34,317, 47,358.46 and 19,209.61 is: 26,509.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,317 : 47,358.46 = 19,209.61 : x
  2. Step 2: Convert to fraction form
    34,317/47,358.46 = 19,209.61/x
  3. Step 3: Cross multiply
    34,317x = 47,358.46 × 19,209.61
  4. Step 4: Simplify right side
    34,317x = 909,737,546.80
  5. Step 5: Solve for x
    x = 909,737,546.80/34,317
  6. Step 6: Final answer
    x = 26,509.82

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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.