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Finding the Fourth Proportional to 30,506.67, 42,077.50 and 27,996.88

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Solution

The fourth proportional to 30,506.67, 42,077.50 and 27,996.88 is: 38,615.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,506.67 : 42,077.50 = 27,996.88 : x
  2. Step 2: Convert to fraction form
    30,506.67/42,077.50 = 27,996.88/x
  3. Step 3: Cross multiply
    30,506.67x = 42,077.50 × 27,996.88
  4. Step 4: Simplify right side
    30,506.67x = 1,178,038,718.20
  5. Step 5: Solve for x
    x = 1,178,038,718.20/30,506.67
  6. Step 6: Final answer
    x = 38,615.78

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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.