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Finding the Fourth Proportional to 67,652.30, 101,502.14 and 20,905.17

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Solution

The fourth proportional to 67,652.30, 101,502.14 and 20,905.17 is: 31,365.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,652.30 : 101,502.14 = 20,905.17 : x
  2. Step 2: Convert to fraction form
    67,652.30/101,502.14 = 20,905.17/x
  3. Step 3: Cross multiply
    67,652.30x = 101,502.14 × 20,905.17
  4. Step 4: Simplify right side
    67,652.30x = 2,121,919,492.06
  5. Step 5: Solve for x
    x = 2,121,919,492.06/67,652.30
  6. Step 6: Final answer
    x = 31,365.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.