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Finding the Fourth Proportional to 34,065.64, 51,101.02 and 9,441

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Solution

The fourth proportional to 34,065.64, 51,101.02 and 9,441 is: 14,162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,065.64 : 51,101.02 = 9,441 : x
  2. Step 2: Convert to fraction form
    34,065.64/51,101.02 = 9,441/x
  3. Step 3: Cross multiply
    34,065.64x = 51,101.02 × 9,441
  4. Step 4: Simplify right side
    34,065.64x = 482,444,729.82
  5. Step 5: Solve for x
    x = 482,444,729.82/34,065.64
  6. Step 6: Final answer
    x = 14,162.21

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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.