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Finding the Fourth Proportional to 31,424.68, 47,162.94 and 12,969.64

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Solution

The fourth proportional to 31,424.68, 47,162.94 and 12,969.64 is: 19,465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,424.68 : 47,162.94 = 12,969.64 : x
  2. Step 2: Convert to fraction form
    31,424.68/47,162.94 = 12,969.64/x
  3. Step 3: Cross multiply
    31,424.68x = 47,162.94 × 12,969.64
  4. Step 4: Simplify right side
    31,424.68x = 611,686,353.14
  5. Step 5: Solve for x
    x = 611,686,353.14/31,424.68
  6. Step 6: Final answer
    x = 19,465.16

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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.