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Finding the Fourth Proportional to 65,081.40, 97,406.10 and 47,261.40

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Solution

The fourth proportional to 65,081.40, 97,406.10 and 47,261.40 is: 70,735.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,081.40 : 97,406.10 = 47,261.40 : x
  2. Step 2: Convert to fraction form
    65,081.40/97,406.10 = 47,261.40/x
  3. Step 3: Cross multiply
    65,081.40x = 97,406.10 × 47,261.40
  4. Step 4: Simplify right side
    65,081.40x = 4,603,548,654.54
  5. Step 5: Solve for x
    x = 4,603,548,654.54/65,081.40
  6. Step 6: Final answer
    x = 70,735.24

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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.