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Finding the Fourth Proportional to 65,202.28, 89,976.74 and 35,393.64

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Solution

The fourth proportional to 65,202.28, 89,976.74 and 35,393.64 is: 48,841.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,202.28 : 89,976.74 = 35,393.64 : x
  2. Step 2: Convert to fraction form
    65,202.28/89,976.74 = 35,393.64/x
  3. Step 3: Cross multiply
    65,202.28x = 89,976.74 × 35,393.64
  4. Step 4: Simplify right side
    65,202.28x = 3,184,604,343.93
  5. Step 5: Solve for x
    x = 3,184,604,343.93/65,202.28
  6. Step 6: Final answer
    x = 48,841.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.