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Finding the Fourth Proportional to 32,413.38, 48,628.28 and 9,039.81

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Solution

The fourth proportional to 32,413.38, 48,628.28 and 9,039.81 is: 13,562.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,413.38 : 48,628.28 = 9,039.81 : x
  2. Step 2: Convert to fraction form
    32,413.38/48,628.28 = 9,039.81/x
  3. Step 3: Cross multiply
    32,413.38x = 48,628.28 × 9,039.81
  4. Step 4: Simplify right side
    32,413.38x = 439,590,411.83
  5. Step 5: Solve for x
    x = 439,590,411.83/32,413.38
  6. Step 6: Final answer
    x = 13,562.00

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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.