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Finding the Fourth Proportional to 34,065.21, 47,011.01 and 20,638.92

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Solution

The fourth proportional to 34,065.21, 47,011.01 and 20,638.92 is: 28,482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,065.21 : 47,011.01 = 20,638.92 : x
  2. Step 2: Convert to fraction form
    34,065.21/47,011.01 = 20,638.92/x
  3. Step 3: Cross multiply
    34,065.21x = 47,011.01 × 20,638.92
  4. Step 4: Simplify right side
    34,065.21x = 970,256,371.31
  5. Step 5: Solve for x
    x = 970,256,371.31/34,065.21
  6. Step 6: Final answer
    x = 28,482.32

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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.