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Finding the Fourth Proportional to 37,971, 52,399.44 and 22,064.40

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Solution

The fourth proportional to 37,971, 52,399.44 and 22,064.40 is: 30,448.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,971 : 52,399.44 = 22,064.40 : x
  2. Step 2: Convert to fraction form
    37,971/52,399.44 = 22,064.40/x
  3. Step 3: Cross multiply
    37,971x = 52,399.44 × 22,064.40
  4. Step 4: Simplify right side
    37,971x = 1,156,162,203.94
  5. Step 5: Solve for x
    x = 1,156,162,203.94/37,971
  6. Step 6: Final answer
    x = 30,448.56

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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.