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Finding the Fourth Proportional to 114,007.84, 170,919.52 and 47,497.96

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Solution

The fourth proportional to 114,007.84, 170,919.52 and 47,497.96 is: 71,208.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,007.84 : 170,919.52 = 47,497.96 : x
  2. Step 2: Convert to fraction form
    114,007.84/170,919.52 = 47,497.96/x
  3. Step 3: Cross multiply
    114,007.84x = 170,919.52 × 47,497.96
  4. Step 4: Simplify right side
    114,007.84x = 8,118,328,524.18
  5. Step 5: Solve for x
    x = 8,118,328,524.18/114,007.84
  6. Step 6: Final answer
    x = 71,208.51

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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.