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Finding the Fourth Proportional to 50,698.80, 75,902.40 and 31,015.80

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Solution

The fourth proportional to 50,698.80, 75,902.40 and 31,015.80 is: 46,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,698.80 : 75,902.40 = 31,015.80 : x
  2. Step 2: Convert to fraction form
    50,698.80/75,902.40 = 31,015.80/x
  3. Step 3: Cross multiply
    50,698.80x = 75,902.40 × 31,015.80
  4. Step 4: Simplify right side
    50,698.80x = 2,354,173,657.92
  5. Step 5: Solve for x
    x = 2,354,173,657.92/50,698.80
  6. Step 6: Final answer
    x = 46,434.50

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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.