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Finding the Fourth Proportional to 65,003.84, 97,452 and 29,913.92

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Solution

The fourth proportional to 65,003.84, 97,452 and 29,913.92 is: 44,846.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,003.84 : 97,452 = 29,913.92 : x
  2. Step 2: Convert to fraction form
    65,003.84/97,452 = 29,913.92/x
  3. Step 3: Cross multiply
    65,003.84x = 97,452 × 29,913.92
  4. Step 4: Simplify right side
    65,003.84x = 2,915,171,331.84
  5. Step 5: Solve for x
    x = 2,915,171,331.84/65,003.84
  6. Step 6: Final answer
    x = 44,846.14

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1.5x scale

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.