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Finding the Fourth Proportional to 41,941, 57,878.99 and 23,078.53

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Solution

The fourth proportional to 41,941, 57,878.99 and 23,078.53 is: 31,848.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,941 : 57,878.99 = 23,078.53 : x
  2. Step 2: Convert to fraction form
    41,941/57,878.99 = 23,078.53/x
  3. Step 3: Cross multiply
    41,941x = 57,878.99 × 23,078.53
  4. Step 4: Simplify right side
    41,941x = 1,335,762,007.08
  5. Step 5: Solve for x
    x = 1,335,762,007.08/41,941
  6. Step 6: Final answer
    x = 31,848.60

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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.