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Finding the Fourth Proportional to 71,653.14, 107,315.78 and 34,239.52

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Solution

The fourth proportional to 71,653.14, 107,315.78 and 34,239.52 is: 51,280.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,653.14 : 107,315.78 = 34,239.52 : x
  2. Step 2: Convert to fraction form
    71,653.14/107,315.78 = 34,239.52/x
  3. Step 3: Cross multiply
    71,653.14x = 107,315.78 × 34,239.52
  4. Step 4: Simplify right side
    71,653.14x = 3,674,440,795.63
  5. Step 5: Solve for x
    x = 3,674,440,795.63/71,653.14
  6. Step 6: Final answer
    x = 51,280.95

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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.