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Finding the Fourth Proportional to 49,847.70, 74,771.55 and 31,415.70

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Solution

The fourth proportional to 49,847.70, 74,771.55 and 31,415.70 is: 47,123.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,847.70 : 74,771.55 = 31,415.70 : x
  2. Step 2: Convert to fraction form
    49,847.70/74,771.55 = 31,415.70/x
  3. Step 3: Cross multiply
    49,847.70x = 74,771.55 × 31,415.70
  4. Step 4: Simplify right side
    49,847.70x = 2,349,000,583.34
  5. Step 5: Solve for x
    x = 2,349,000,583.34/49,847.70
  6. Step 6: Final answer
    x = 47,123.55

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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.