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Finding the Fourth Proportional to 47,685, 71,510.22 and 21,376.20

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Solution

The fourth proportional to 47,685, 71,510.22 and 21,376.20 is: 32,056.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,685 : 71,510.22 = 21,376.20 : x
  2. Step 2: Convert to fraction form
    47,685/71,510.22 = 21,376.20/x
  3. Step 3: Cross multiply
    47,685x = 71,510.22 × 21,376.20
  4. Step 4: Simplify right side
    47,685x = 1,528,616,764.76
  5. Step 5: Solve for x
    x = 1,528,616,764.76/47,685
  6. Step 6: Final answer
    x = 32,056.55

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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.