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Finding the Fourth Proportional to 113,955.66, 170,994.69 and 47,441.70

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Solution

The fourth proportional to 113,955.66, 170,994.69 and 47,441.70 is: 71,188.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,955.66 : 170,994.69 = 47,441.70 : x
  2. Step 2: Convert to fraction form
    113,955.66/170,994.69 = 47,441.70/x
  3. Step 3: Cross multiply
    113,955.66x = 170,994.69 × 47,441.70
  4. Step 4: Simplify right side
    113,955.66x = 8,112,278,784.57
  5. Step 5: Solve for x
    x = 8,112,278,784.57/113,955.66
  6. Step 6: Final answer
    x = 71,188.03

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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.