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Finding the Fourth Proportional to 94,750.56, 142,076.16 and 47,314.80

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Solution

The fourth proportional to 94,750.56, 142,076.16 and 47,314.80 is: 70,947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,750.56 : 142,076.16 = 47,314.80 : x
  2. Step 2: Convert to fraction form
    94,750.56/142,076.16 = 47,314.80/x
  3. Step 3: Cross multiply
    94,750.56x = 142,076.16 × 47,314.80
  4. Step 4: Simplify right side
    94,750.56x = 6,722,305,095.17
  5. Step 5: Solve for x
    x = 6,722,305,095.17/94,750.56
  6. Step 6: Final answer
    x = 70,947.39

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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.