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Finding the Fourth Proportional to 30,846.58, 42,565.13 and 17,923.84

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Solution

The fourth proportional to 30,846.58, 42,565.13 and 17,923.84 is: 24,733.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,846.58 : 42,565.13 = 17,923.84 : x
  2. Step 2: Convert to fraction form
    30,846.58/42,565.13 = 17,923.84/x
  3. Step 3: Cross multiply
    30,846.58x = 42,565.13 × 17,923.84
  4. Step 4: Simplify right side
    30,846.58x = 762,930,690.31
  5. Step 5: Solve for x
    x = 762,930,690.31/30,846.58
  6. Step 6: Final answer
    x = 24,733.07

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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.