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Finding the Fourth Proportional to 31,565.20, 47,326.20 and 14,933.20

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Solution

The fourth proportional to 31,565.20, 47,326.20 and 14,933.20 is: 22,389.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,565.20 : 47,326.20 = 14,933.20 : x
  2. Step 2: Convert to fraction form
    31,565.20/47,326.20 = 14,933.20/x
  3. Step 3: Cross multiply
    31,565.20x = 47,326.20 × 14,933.20
  4. Step 4: Simplify right side
    31,565.20x = 706,731,609.84
  5. Step 5: Solve for x
    x = 706,731,609.84/31,565.20
  6. Step 6: Final answer
    x = 22,389.58

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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.