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Finding the Fourth Proportional to 32,047.17, 48,062.85 and 14,513.51

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Solution

The fourth proportional to 32,047.17, 48,062.85 and 14,513.51 is: 21,766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,047.17 : 48,062.85 = 14,513.51 : x
  2. Step 2: Convert to fraction form
    32,047.17/48,062.85 = 14,513.51/x
  3. Step 3: Cross multiply
    32,047.17x = 48,062.85 × 14,513.51
  4. Step 4: Simplify right side
    32,047.17x = 697,560,413.79
  5. Step 5: Solve for x
    x = 697,560,413.79/32,047.17
  6. Step 6: Final answer
    x = 21,766.68

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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.