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Finding the Fourth Proportional to 31,833.84, 47,751.20 and 8,460.16

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Solution

The fourth proportional to 31,833.84, 47,751.20 and 8,460.16 is: 12,690.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,833.84 : 47,751.20 = 8,460.16 : x
  2. Step 2: Convert to fraction form
    31,833.84/47,751.20 = 8,460.16/x
  3. Step 3: Cross multiply
    31,833.84x = 47,751.20 × 8,460.16
  4. Step 4: Simplify right side
    31,833.84x = 403,982,792.19
  5. Step 5: Solve for x
    x = 403,982,792.19/31,833.84
  6. Step 6: Final answer
    x = 12,690.36

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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.