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Finding the Fourth Proportional to 31,811.68, 47,684.72 and 23,024.80

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Solution

The fourth proportional to 31,811.68, 47,684.72 and 23,024.80 is: 34,513.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,811.68 : 47,684.72 = 23,024.80 : x
  2. Step 2: Convert to fraction form
    31,811.68/47,684.72 = 23,024.80/x
  3. Step 3: Cross multiply
    31,811.68x = 47,684.72 × 23,024.80
  4. Step 4: Simplify right side
    31,811.68x = 1,097,931,141.06
  5. Step 5: Solve for x
    x = 1,097,931,141.06/31,811.68
  6. Step 6: Final answer
    x = 34,513.46

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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.