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Finding the Fourth Proportional to 34,752.54, 52,131.88 and 9,792.80

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Solution

The fourth proportional to 34,752.54, 52,131.88 and 9,792.80 is: 14,690.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,752.54 : 52,131.88 = 9,792.80 : x
  2. Step 2: Convert to fraction form
    34,752.54/52,131.88 = 9,792.80/x
  3. Step 3: Cross multiply
    34,752.54x = 52,131.88 × 9,792.80
  4. Step 4: Simplify right side
    34,752.54x = 510,517,025.50
  5. Step 5: Solve for x
    x = 510,517,025.50/34,752.54
  6. Step 6: Final answer
    x = 14,690.06

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Why These Related Problems?

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