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Finding the Fourth Proportional to 32,666.40, 49,003.92 and 10,472.40

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Solution

The fourth proportional to 32,666.40, 49,003.92 and 10,472.40 is: 15,709.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,666.40 : 49,003.92 = 10,472.40 : x
  2. Step 2: Convert to fraction form
    32,666.40/49,003.92 = 10,472.40/x
  3. Step 3: Cross multiply
    32,666.40x = 49,003.92 × 10,472.40
  4. Step 4: Simplify right side
    32,666.40x = 513,188,651.81
  5. Step 5: Solve for x
    x = 513,188,651.81/32,666.40
  6. Step 6: Final answer
    x = 15,709.98

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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.