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Finding the Fourth Proportional to 64,097.48, 96,165.63 and 45,413.66

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Solution

The fourth proportional to 64,097.48, 96,165.63 and 45,413.66 is: 68,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,097.48 : 96,165.63 = 45,413.66 : x
  2. Step 2: Convert to fraction form
    64,097.48/96,165.63 = 45,413.66/x
  3. Step 3: Cross multiply
    64,097.48x = 96,165.63 × 45,413.66
  4. Step 4: Simplify right side
    64,097.48x = 4,367,233,224.51
  5. Step 5: Solve for x
    x = 4,367,233,224.51/64,097.48
  6. Step 6: Final answer
    x = 68,134.24

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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.