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Finding the Fourth Proportional to 34,495.71, 47,622.97 and 20,886.20

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Solution

The fourth proportional to 34,495.71, 47,622.97 and 20,886.20 is: 28,834.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,495.71 : 47,622.97 = 20,886.20 : x
  2. Step 2: Convert to fraction form
    34,495.71/47,622.97 = 20,886.20/x
  3. Step 3: Cross multiply
    34,495.71x = 47,622.97 × 20,886.20
  4. Step 4: Simplify right side
    34,495.71x = 994,662,637.90
  5. Step 5: Solve for x
    x = 994,662,637.90/34,495.71
  6. Step 6: Final answer
    x = 28,834.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.