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Finding the Fourth Proportional to 30,762.18, 42,470.25 and 20,170.29

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Solution

The fourth proportional to 30,762.18, 42,470.25 and 20,170.29 is: 27,847.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762.18 : 42,470.25 = 20,170.29 : x
  2. Step 2: Convert to fraction form
    30,762.18/42,470.25 = 20,170.29/x
  3. Step 3: Cross multiply
    30,762.18x = 42,470.25 × 20,170.29
  4. Step 4: Simplify right side
    30,762.18x = 856,637,258.87
  5. Step 5: Solve for x
    x = 856,637,258.87/30,762.18
  6. Step 6: Final answer
    x = 27,847.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.