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Finding the Fourth Proportional to 34,206.05, 47,191.13 and 21,454.01

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Solution

The fourth proportional to 34,206.05, 47,191.13 and 21,454.01 is: 29,598.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,206.05 : 47,191.13 = 21,454.01 : x
  2. Step 2: Convert to fraction form
    34,206.05/47,191.13 = 21,454.01/x
  3. Step 3: Cross multiply
    34,206.05x = 47,191.13 × 21,454.01
  4. Step 4: Simplify right side
    34,206.05x = 1,012,439,214.91
  5. Step 5: Solve for x
    x = 1,012,439,214.91/34,206.05
  6. Step 6: Final answer
    x = 29,598.25

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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.