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Finding the Fourth Proportional to 32,002.95, 47,935.17 and 23,218.50

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Solution

The fourth proportional to 32,002.95, 47,935.17 and 23,218.50 is: 34,777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.95 : 47,935.17 = 23,218.50 : x
  2. Step 2: Convert to fraction form
    32,002.95/47,935.17 = 23,218.50/x
  3. Step 3: Cross multiply
    32,002.95x = 47,935.17 × 23,218.50
  4. Step 4: Simplify right side
    32,002.95x = 1,112,982,744.65
  5. Step 5: Solve for x
    x = 1,112,982,744.65/32,002.95
  6. Step 6: Final answer
    x = 34,777.50

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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.