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Finding the Fourth Proportional to 34,210.95, 47,197.68 and 19,868.34

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Solution

The fourth proportional to 34,210.95, 47,197.68 and 19,868.34 is: 27,410.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,210.95 : 47,197.68 = 19,868.34 : x
  2. Step 2: Convert to fraction form
    34,210.95/47,197.68 = 19,868.34/x
  3. Step 3: Cross multiply
    34,210.95x = 47,197.68 × 19,868.34
  4. Step 4: Simplify right side
    34,210.95x = 937,739,553.45
  5. Step 5: Solve for x
    x = 937,739,553.45/34,210.95
  6. Step 6: Final answer
    x = 27,410.51

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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.