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Finding the Fourth Proportional to 65,337.84, 97,948.44 and 30,229.20

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Solution

The fourth proportional to 65,337.84, 97,948.44 and 30,229.20 is: 45,316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,337.84 : 97,948.44 = 30,229.20 : x
  2. Step 2: Convert to fraction form
    65,337.84/97,948.44 = 30,229.20/x
  3. Step 3: Cross multiply
    65,337.84x = 97,948.44 × 30,229.20
  4. Step 4: Simplify right side
    65,337.84x = 2,960,902,982.45
  5. Step 5: Solve for x
    x = 2,960,902,982.45/65,337.84
  6. Step 6: Final answer
    x = 45,316.82

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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.