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Finding the Fourth Proportional to 65,413.20, 97,901.10 and 65,413.20

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Solution

The fourth proportional to 65,413.20, 97,901.10 and 65,413.20 is: 97,901.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,413.20 : 97,901.10 = 65,413.20 : x
  2. Step 2: Convert to fraction form
    65,413.20/97,901.10 = 65,413.20/x
  3. Step 3: Cross multiply
    65,413.20x = 97,901.10 × 65,413.20
  4. Step 4: Simplify right side
    65,413.20x = 6,404,024,234.52
  5. Step 5: Solve for x
    x = 6,404,024,234.52/65,413.20
  6. Step 6: Final answer
    x = 97,901.10

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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.