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Finding the Fourth Proportional to 30,588.90, 42,227.54 and 20,513.68

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Solution

The fourth proportional to 30,588.90, 42,227.54 and 20,513.68 is: 28,318.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,588.90 : 42,227.54 = 20,513.68 : x
  2. Step 2: Convert to fraction form
    30,588.90/42,227.54 = 20,513.68/x
  3. Step 3: Cross multiply
    30,588.90x = 42,227.54 × 20,513.68
  4. Step 4: Simplify right side
    30,588.90x = 866,242,242.75
  5. Step 5: Solve for x
    x = 866,242,242.75/30,588.90
  6. Step 6: Final answer
    x = 28,318.84

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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.