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Finding the Fourth Proportional to 97,533.86, 146,300.76 and 27,413.16

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Solution

The fourth proportional to 97,533.86, 146,300.76 and 27,413.16 is: 41,119.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,533.86 : 146,300.76 = 27,413.16 : x
  2. Step 2: Convert to fraction form
    97,533.86/146,300.76 = 27,413.16/x
  3. Step 3: Cross multiply
    97,533.86x = 146,300.76 × 27,413.16
  4. Step 4: Simplify right side
    97,533.86x = 4,010,566,142.00
  5. Step 5: Solve for x
    x = 4,010,566,142.00/97,533.86
  6. Step 6: Final answer
    x = 41,119.73

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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.