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Finding the Fourth Proportional to 34,410.95, 51,606.51 and 9,451.82

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Solution

The fourth proportional to 34,410.95, 51,606.51 and 9,451.82 is: 14,175.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,410.95 : 51,606.51 = 9,451.82 : x
  2. Step 2: Convert to fraction form
    34,410.95/51,606.51 = 9,451.82/x
  3. Step 3: Cross multiply
    34,410.95x = 51,606.51 × 9,451.82
  4. Step 4: Simplify right side
    34,410.95x = 487,775,208.95
  5. Step 5: Solve for x
    x = 487,775,208.95/34,410.95
  6. Step 6: Final answer
    x = 14,175.00

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Why These Related Problems?

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