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Finding the Fourth Proportional to 36,300, 49,938.48 and 34,744.80

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Solution

The fourth proportional to 36,300, 49,938.48 and 34,744.80 is: 47,798.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,300 : 49,938.48 = 34,744.80 : x
  2. Step 2: Convert to fraction form
    36,300/49,938.48 = 34,744.80/x
  3. Step 3: Cross multiply
    36,300x = 49,938.48 × 34,744.80
  4. Step 4: Simplify right side
    36,300x = 1,735,102,499.90
  5. Step 5: Solve for x
    x = 1,735,102,499.90/36,300
  6. Step 6: Final answer
    x = 47,798.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.