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Finding the Fourth Proportional to 32,413.16, 48,622.56 and 9,039.56

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Solution

The fourth proportional to 32,413.16, 48,622.56 and 9,039.56 is: 13,560.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,413.16 : 48,622.56 = 9,039.56 : x
  2. Step 2: Convert to fraction form
    32,413.16/48,622.56 = 9,039.56/x
  3. Step 3: Cross multiply
    32,413.16x = 48,622.56 × 9,039.56
  4. Step 4: Simplify right side
    32,413.16x = 439,526,548.47
  5. Step 5: Solve for x
    x = 439,526,548.47/32,413.16
  6. Step 6: Final answer
    x = 13,560.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.