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Finding the Fourth Proportional to 32,788.64, 49,190.24 and 9,413.28

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Solution

The fourth proportional to 32,788.64, 49,190.24 and 9,413.28 is: 14,122.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,788.64 : 49,190.24 = 9,413.28 : x
  2. Step 2: Convert to fraction form
    32,788.64/49,190.24 = 9,413.28/x
  3. Step 3: Cross multiply
    32,788.64x = 49,190.24 × 9,413.28
  4. Step 4: Simplify right side
    32,788.64x = 463,041,502.39
  5. Step 5: Solve for x
    x = 463,041,502.39/32,788.64
  6. Step 6: Final answer
    x = 14,122.01

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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.