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Finding the Fourth Proportional to 31,411.95, 47,110.62 and 9,219.37

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Solution

The fourth proportional to 31,411.95, 47,110.62 and 9,219.37 is: 13,826.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,411.95 : 47,110.62 = 9,219.37 : x
  2. Step 2: Convert to fraction form
    31,411.95/47,110.62 = 9,219.37/x
  3. Step 3: Cross multiply
    31,411.95x = 47,110.62 × 9,219.37
  4. Step 4: Simplify right side
    31,411.95x = 434,330,001.16
  5. Step 5: Solve for x
    x = 434,330,001.16/31,411.95
  6. Step 6: Final answer
    x = 13,826.90

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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.