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Finding the Fourth Proportional to 31,501.68, 47,243.88 and 11,773.68

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Solution

The fourth proportional to 31,501.68, 47,243.88 and 11,773.68 is: 17,657.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,501.68 : 47,243.88 = 11,773.68 : x
  2. Step 2: Convert to fraction form
    31,501.68/47,243.88 = 11,773.68/x
  3. Step 3: Cross multiply
    31,501.68x = 47,243.88 × 11,773.68
  4. Step 4: Simplify right side
    31,501.68x = 556,234,325.08
  5. Step 5: Solve for x
    x = 556,234,325.08/31,501.68
  6. Step 6: Final answer
    x = 17,657.29

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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.