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Finding the Fourth Proportional to 65,774.72, 98,663.31 and 21,401.30

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Solution

The fourth proportional to 65,774.72, 98,663.31 and 21,401.30 is: 32,102.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,774.72 : 98,663.31 = 21,401.30 : x
  2. Step 2: Convert to fraction form
    65,774.72/98,663.31 = 21,401.30/x
  3. Step 3: Cross multiply
    65,774.72x = 98,663.31 × 21,401.30
  4. Step 4: Simplify right side
    65,774.72x = 2,111,523,342.96
  5. Step 5: Solve for x
    x = 2,111,523,342.96/65,774.72
  6. Step 6: Final answer
    x = 32,102.35

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