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Finding the Fourth Proportional to 71,582.84, 107,326.87 and 34,148.69

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Solution

The fourth proportional to 71,582.84, 107,326.87 and 34,148.69 is: 51,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,582.84 : 107,326.87 = 34,148.69 : x
  2. Step 2: Convert to fraction form
    71,582.84/107,326.87 = 34,148.69/x
  3. Step 3: Cross multiply
    71,582.84x = 107,326.87 × 34,148.69
  4. Step 4: Simplify right side
    71,582.84x = 3,665,071,390.29
  5. Step 5: Solve for x
    x = 3,665,071,390.29/71,582.84
  6. Step 6: Final answer
    x = 51,200.42

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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.