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Finding the Fourth Proportional to 31,378.16, 47,078.04 and 19,677.68

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Solution

The fourth proportional to 31,378.16, 47,078.04 and 19,677.68 is: 29,523.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,378.16 : 47,078.04 = 19,677.68 : x
  2. Step 2: Convert to fraction form
    31,378.16/47,078.04 = 19,677.68/x
  3. Step 3: Cross multiply
    31,378.16x = 47,078.04 × 19,677.68
  4. Step 4: Simplify right side
    31,378.16x = 926,386,606.15
  5. Step 5: Solve for x
    x = 926,386,606.15/31,378.16
  6. Step 6: Final answer
    x = 29,523.29

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1.5x scale

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.