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Finding the Fourth Proportional to 31,545.60, 47,219.96 and 23,235

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Solution

The fourth proportional to 31,545.60, 47,219.96 and 23,235 is: 34,779.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,545.60 : 47,219.96 = 23,235 : x
  2. Step 2: Convert to fraction form
    31,545.60/47,219.96 = 23,235/x
  3. Step 3: Cross multiply
    31,545.60x = 47,219.96 × 23,235
  4. Step 4: Simplify right side
    31,545.60x = 1,097,155,770.60
  5. Step 5: Solve for x
    x = 1,097,155,770.60/31,545.60
  6. Step 6: Final answer
    x = 34,779.99

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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.