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Finding the Fourth Proportional to 65,007, 97,513.98 and 20,637.24

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Solution

The fourth proportional to 65,007, 97,513.98 and 20,637.24 is: 30,956.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,007 : 97,513.98 = 20,637.24 : x
  2. Step 2: Convert to fraction form
    65,007/97,513.98 = 20,637.24/x
  3. Step 3: Cross multiply
    65,007x = 97,513.98 × 20,637.24
  4. Step 4: Simplify right side
    65,007x = 2,012,419,408.62
  5. Step 5: Solve for x
    x = 2,012,419,408.62/65,007
  6. Step 6: Final answer
    x = 30,956.96

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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.