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Finding the Fourth Proportional to 65,086.40, 97,413.60 and 47,266.40

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Solution

The fourth proportional to 65,086.40, 97,413.60 and 47,266.40 is: 70,742.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,086.40 : 97,413.60 = 47,266.40 : x
  2. Step 2: Convert to fraction form
    65,086.40/97,413.60 = 47,266.40/x
  3. Step 3: Cross multiply
    65,086.40x = 97,413.60 × 47,266.40
  4. Step 4: Simplify right side
    65,086.40x = 4,604,390,183.04
  5. Step 5: Solve for x
    x = 4,604,390,183.04/65,086.40
  6. Step 6: Final answer
    x = 70,742.74

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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.