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Finding the Fourth Proportional to 31,713.69, 47,577.84 and 9,527.50

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Solution

The fourth proportional to 31,713.69, 47,577.84 and 9,527.50 is: 14,293.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,713.69 : 47,577.84 = 9,527.50 : x
  2. Step 2: Convert to fraction form
    31,713.69/47,577.84 = 9,527.50/x
  3. Step 3: Cross multiply
    31,713.69x = 47,577.84 × 9,527.50
  4. Step 4: Simplify right side
    31,713.69x = 453,297,870.60
  5. Step 5: Solve for x
    x = 453,297,870.60/31,713.69
  6. Step 6: Final answer
    x = 14,293.44

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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.