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Finding the Fourth Proportional to 65,165.95, 97,729.42 and 33,984.19

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Solution

The fourth proportional to 65,165.95, 97,729.42 and 33,984.19 is: 50,966.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,165.95 : 97,729.42 = 33,984.19 : x
  2. Step 2: Convert to fraction form
    65,165.95/97,729.42 = 33,984.19/x
  3. Step 3: Cross multiply
    65,165.95x = 97,729.42 × 33,984.19
  4. Step 4: Simplify right side
    65,165.95x = 3,321,255,177.87
  5. Step 5: Solve for x
    x = 3,321,255,177.87/65,165.95
  6. Step 6: Final answer
    x = 50,966.11

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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.