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Finding the Fourth Proportional to 30,638.34, 42,289.65 and 18,538.80

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Solution

The fourth proportional to 30,638.34, 42,289.65 and 18,538.80 is: 25,588.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,638.34 : 42,289.65 = 18,538.80 : x
  2. Step 2: Convert to fraction form
    30,638.34/42,289.65 = 18,538.80/x
  3. Step 3: Cross multiply
    30,638.34x = 42,289.65 × 18,538.80
  4. Step 4: Simplify right side
    30,638.34x = 783,999,363.42
  5. Step 5: Solve for x
    x = 783,999,363.42/30,638.34
  6. Step 6: Final answer
    x = 25,588.83

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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.