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Finding the Fourth Proportional to 31,485.33, 47,226.42 and 7,792.74

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Solution

The fourth proportional to 31,485.33, 47,226.42 and 7,792.74 is: 11,688.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,485.33 : 47,226.42 = 7,792.74 : x
  2. Step 2: Convert to fraction form
    31,485.33/47,226.42 = 7,792.74/x
  3. Step 3: Cross multiply
    31,485.33x = 47,226.42 × 7,792.74
  4. Step 4: Simplify right side
    31,485.33x = 368,023,212.19
  5. Step 5: Solve for x
    x = 368,023,212.19/31,485.33
  6. Step 6: Final answer
    x = 11,688.72

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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.