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Finding the Fourth Proportional to 114,578.44, 171,875.88 and 47,951.50

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Solution

The fourth proportional to 114,578.44, 171,875.88 and 47,951.50 is: 71,930.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,578.44 : 171,875.88 = 47,951.50 : x
  2. Step 2: Convert to fraction form
    114,578.44/171,875.88 = 47,951.50/x
  3. Step 3: Cross multiply
    114,578.44x = 171,875.88 × 47,951.50
  4. Step 4: Simplify right side
    114,578.44x = 8,241,706,259.82
  5. Step 5: Solve for x
    x = 8,241,706,259.82/114,578.44
  6. Step 6: Final answer
    x = 71,930.69

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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.