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Finding the Fourth Proportional to 65,720.30, 98,515.65 and 32,413.10

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Solution

The fourth proportional to 65,720.30, 98,515.65 and 32,413.10 is: 48,587.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,720.30 : 98,515.65 = 32,413.10 : x
  2. Step 2: Convert to fraction form
    65,720.30/98,515.65 = 32,413.10/x
  3. Step 3: Cross multiply
    65,720.30x = 98,515.65 × 32,413.10
  4. Step 4: Simplify right side
    65,720.30x = 3,193,197,615.02
  5. Step 5: Solve for x
    x = 3,193,197,615.02/65,720.30
  6. Step 6: Final answer
    x = 48,587.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.