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Finding the Fourth Proportional to 50,416.70, 75,619.79 and 31,641.06

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Solution

The fourth proportional to 50,416.70, 75,619.79 and 31,641.06 is: 47,458.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,416.70 : 75,619.79 = 31,641.06 : x
  2. Step 2: Convert to fraction form
    50,416.70/75,619.79 = 31,641.06/x
  3. Step 3: Cross multiply
    50,416.70x = 75,619.79 × 31,641.06
  4. Step 4: Simplify right side
    50,416.70x = 2,392,690,154.37
  5. Step 5: Solve for x
    x = 2,392,690,154.37/50,416.70
  6. Step 6: Final answer
    x = 47,458.29

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1.5x scale

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.