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Finding the Fourth Proportional to 34,133.30, 51,205.23 and 14,410.10

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Solution

The fourth proportional to 34,133.30, 51,205.23 and 14,410.10 is: 21,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,133.30 : 51,205.23 = 14,410.10 : x
  2. Step 2: Convert to fraction form
    34,133.30/51,205.23 = 14,410.10/x
  3. Step 3: Cross multiply
    34,133.30x = 51,205.23 × 14,410.10
  4. Step 4: Simplify right side
    34,133.30x = 737,872,484.82
  5. Step 5: Solve for x
    x = 737,872,484.82/34,133.30
  6. Step 6: Final answer
    x = 21,617.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.