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Finding the Fourth Proportional to 34,772.46, 52,155.93 and 9,811.50

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Solution

The fourth proportional to 34,772.46, 52,155.93 and 9,811.50 is: 14,716.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,772.46 : 52,155.93 = 9,811.50 : x
  2. Step 2: Convert to fraction form
    34,772.46/52,155.93 = 9,811.50/x
  3. Step 3: Cross multiply
    34,772.46x = 52,155.93 × 9,811.50
  4. Step 4: Simplify right side
    34,772.46x = 511,727,907.20
  5. Step 5: Solve for x
    x = 511,727,907.20/34,772.46
  6. Step 6: Final answer
    x = 14,716.47

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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.