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Finding the Fourth Proportional to 31,054.64, 42,853.12 and 17,624.64

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Solution

The fourth proportional to 31,054.64, 42,853.12 and 17,624.64 is: 24,320.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,054.64 : 42,853.12 = 17,624.64 : x
  2. Step 2: Convert to fraction form
    31,054.64/42,853.12 = 17,624.64/x
  3. Step 3: Cross multiply
    31,054.64x = 42,853.12 × 17,624.64
  4. Step 4: Simplify right side
    31,054.64x = 755,270,812.88
  5. Step 5: Solve for x
    x = 755,270,812.88/31,054.64
  6. Step 6: Final answer
    x = 24,320.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.