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Finding the Fourth Proportional to 57,033, 78,740.10 and 37,195.56

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Solution

The fourth proportional to 57,033, 78,740.10 and 37,195.56 is: 51,352.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,033 : 78,740.10 = 37,195.56 : x
  2. Step 2: Convert to fraction form
    57,033/78,740.10 = 37,195.56/x
  3. Step 3: Cross multiply
    57,033x = 78,740.10 × 37,195.56
  4. Step 4: Simplify right side
    57,033x = 2,928,782,113.96
  5. Step 5: Solve for x
    x = 2,928,782,113.96/57,033
  6. Step 6: Final answer
    x = 51,352.41

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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.