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Finding the Fourth Proportional to 32,188, 48,283.62 and 11,413.12

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Solution

The fourth proportional to 32,188, 48,283.62 and 11,413.12 is: 17,120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,188 : 48,283.62 = 11,413.12 : x
  2. Step 2: Convert to fraction form
    32,188/48,283.62 = 11,413.12/x
  3. Step 3: Cross multiply
    32,188x = 48,283.62 × 11,413.12
  4. Step 4: Simplify right side
    32,188x = 551,066,749.09
  5. Step 5: Solve for x
    x = 551,066,749.09/32,188
  6. Step 6: Final answer
    x = 17,120.25

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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.