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Finding the Fourth Proportional to 31,674.36, 47,494 and 12,967.54

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Solution

The fourth proportional to 31,674.36, 47,494 and 12,967.54 is: 19,444.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,674.36 : 47,494 = 12,967.54 : x
  2. Step 2: Convert to fraction form
    31,674.36/47,494 = 12,967.54/x
  3. Step 3: Cross multiply
    31,674.36x = 47,494 × 12,967.54
  4. Step 4: Simplify right side
    31,674.36x = 615,880,344.76
  5. Step 5: Solve for x
    x = 615,880,344.76/31,674.36
  6. Step 6: Final answer
    x = 19,444.13

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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.