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Finding the Fourth Proportional to 65,174.94, 97,799.39 and 35,188.78

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Solution

The fourth proportional to 65,174.94, 97,799.39 and 35,188.78 is: 52,803.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,174.94 : 97,799.39 = 35,188.78 : x
  2. Step 2: Convert to fraction form
    65,174.94/97,799.39 = 35,188.78/x
  3. Step 3: Cross multiply
    65,174.94x = 97,799.39 × 35,188.78
  4. Step 4: Simplify right side
    65,174.94x = 3,441,440,974.35
  5. Step 5: Solve for x
    x = 3,441,440,974.35/65,174.94
  6. Step 6: Final answer
    x = 52,803.13

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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.