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Finding the Fourth Proportional to 31,526.40, 47,298.24 and 24,974.40

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Solution

The fourth proportional to 31,526.40, 47,298.24 and 24,974.40 is: 37,468.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,526.40 : 47,298.24 = 24,974.40 : x
  2. Step 2: Convert to fraction form
    31,526.40/47,298.24 = 24,974.40/x
  3. Step 3: Cross multiply
    31,526.40x = 47,298.24 × 24,974.40
  4. Step 4: Simplify right side
    31,526.40x = 1,181,245,165.06
  5. Step 5: Solve for x
    x = 1,181,245,165.06/31,526.40
  6. Step 6: Final answer
    x = 37,468.44

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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.