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Finding the Fourth Proportional to 67,767, 93,518.46 and 37,959

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Solution

The fourth proportional to 67,767, 93,518.46 and 37,959 is: 52,383.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,767 : 93,518.46 = 37,959 : x
  2. Step 2: Convert to fraction form
    67,767/93,518.46 = 37,959/x
  3. Step 3: Cross multiply
    67,767x = 93,518.46 × 37,959
  4. Step 4: Simplify right side
    67,767x = 3,549,867,223.14
  5. Step 5: Solve for x
    x = 3,549,867,223.14/67,767
  6. Step 6: Final answer
    x = 52,383.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.