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Finding the Fourth Proportional to 65,003.50, 97,541.70 and 64,507.78

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Solution

The fourth proportional to 65,003.50, 97,541.70 and 64,507.78 is: 96,797.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,003.50 : 97,541.70 = 64,507.78 : x
  2. Step 2: Convert to fraction form
    65,003.50/97,541.70 = 64,507.78/x
  3. Step 3: Cross multiply
    65,003.50x = 97,541.70 × 64,507.78
  4. Step 4: Simplify right side
    65,003.50x = 6,292,198,524.43
  5. Step 5: Solve for x
    x = 6,292,198,524.43/65,003.50
  6. Step 6: Final answer
    x = 96,797.84

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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.