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Finding the Fourth Proportional to 57,064.57, 78,749.04 and 31,914.07

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Solution

The fourth proportional to 57,064.57, 78,749.04 and 31,914.07 is: 44,041.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,064.57 : 78,749.04 = 31,914.07 : x
  2. Step 2: Convert to fraction form
    57,064.57/78,749.04 = 31,914.07/x
  3. Step 3: Cross multiply
    57,064.57x = 78,749.04 × 31,914.07
  4. Step 4: Simplify right side
    57,064.57x = 2,513,202,297.80
  5. Step 5: Solve for x
    x = 2,513,202,297.80/57,064.57
  6. Step 6: Final answer
    x = 44,041.38

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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.