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Finding the Fourth Proportional to 67,184.64, 100,776.96 and 47,698.47

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Solution

The fourth proportional to 67,184.64, 100,776.96 and 47,698.47 is: 71,547.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,184.64 : 100,776.96 = 47,698.47 : x
  2. Step 2: Convert to fraction form
    67,184.64/100,776.96 = 47,698.47/x
  3. Step 3: Cross multiply
    67,184.64x = 100,776.96 × 47,698.47
  4. Step 4: Simplify right side
    67,184.64x = 4,806,906,803.25
  5. Step 5: Solve for x
    x = 4,806,906,803.25/67,184.64
  6. Step 6: Final answer
    x = 71,547.71

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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.