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Finding the Fourth Proportional to 39,970.76, 55,158.20 and 22,065.38

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Solution

The fourth proportional to 39,970.76, 55,158.20 and 22,065.38 is: 30,449.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,970.76 : 55,158.20 = 22,065.38 : x
  2. Step 2: Convert to fraction form
    39,970.76/55,158.20 = 22,065.38/x
  3. Step 3: Cross multiply
    39,970.76x = 55,158.20 × 22,065.38
  4. Step 4: Simplify right side
    39,970.76x = 1,217,086,643.12
  5. Step 5: Solve for x
    x = 1,217,086,643.12/39,970.76
  6. Step 6: Final answer
    x = 30,449.42

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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.