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Finding the Fourth Proportional to 65,023.84, 97,539.14 and 20,654.06

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Solution

The fourth proportional to 65,023.84, 97,539.14 and 20,654.06 is: 30,982.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,023.84 : 97,539.14 = 20,654.06 : x
  2. Step 2: Convert to fraction form
    65,023.84/97,539.14 = 20,654.06/x
  3. Step 3: Cross multiply
    65,023.84x = 97,539.14 × 20,654.06
  4. Step 4: Simplify right side
    65,023.84x = 2,014,579,249.91
  5. Step 5: Solve for x
    x = 2,014,579,249.91/65,023.84
  6. Step 6: Final answer
    x = 30,982.16

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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.