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Finding the Fourth Proportional to 31,405.54, 47,098.18 and 10,340.56

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Solution

The fourth proportional to 31,405.54, 47,098.18 and 10,340.56 is: 15,507.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,405.54 : 47,098.18 = 10,340.56 : x
  2. Step 2: Convert to fraction form
    31,405.54/47,098.18 = 10,340.56/x
  3. Step 3: Cross multiply
    31,405.54x = 47,098.18 × 10,340.56
  4. Step 4: Simplify right side
    31,405.54x = 487,021,412.58
  5. Step 5: Solve for x
    x = 487,021,412.58/31,405.54
  6. Step 6: Final answer
    x = 15,507.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.