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Finding the Fourth Proportional to 49,783.70, 74,675.55 and 31,351.70

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Solution

The fourth proportional to 49,783.70, 74,675.55 and 31,351.70 is: 47,027.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,783.70 : 74,675.55 = 31,351.70 : x
  2. Step 2: Convert to fraction form
    49,783.70/74,675.55 = 31,351.70/x
  3. Step 3: Cross multiply
    49,783.70x = 74,675.55 × 31,351.70
  4. Step 4: Simplify right side
    49,783.70x = 2,341,205,440.94
  5. Step 5: Solve for x
    x = 2,341,205,440.94/49,783.70
  6. Step 6: Final answer
    x = 47,027.55

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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.