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Finding the Fourth Proportional to 31,412.46, 47,125.64 and 10,351.65

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Solution

The fourth proportional to 31,412.46, 47,125.64 and 10,351.65 is: 15,529.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,412.46 : 47,125.64 = 10,351.65 : x
  2. Step 2: Convert to fraction form
    31,412.46/47,125.64 = 10,351.65/x
  3. Step 3: Cross multiply
    31,412.46x = 47,125.64 × 10,351.65
  4. Step 4: Simplify right side
    31,412.46x = 487,828,131.31
  5. Step 5: Solve for x
    x = 487,828,131.31/31,412.46
  6. Step 6: Final answer
    x = 15,529.77

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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.