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Finding the Fourth Proportional to 34,742, 47,947.61 and 21,310.18

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Solution

The fourth proportional to 34,742, 47,947.61 and 21,310.18 is: 29,410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,742 : 47,947.61 = 21,310.18 : x
  2. Step 2: Convert to fraction form
    34,742/47,947.61 = 21,310.18/x
  3. Step 3: Cross multiply
    34,742x = 47,947.61 × 21,310.18
  4. Step 4: Simplify right side
    34,742x = 1,021,772,199.67
  5. Step 5: Solve for x
    x = 1,021,772,199.67/34,742
  6. Step 6: Final answer
    x = 29,410.29

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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.