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Finding the Fourth Proportional to 31,783.58, 47,663.18 and 10,717.93

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Solution

The fourth proportional to 31,783.58, 47,663.18 and 10,717.93 is: 16,072.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,783.58 : 47,663.18 = 10,717.93 : x
  2. Step 2: Convert to fraction form
    31,783.58/47,663.18 = 10,717.93/x
  3. Step 3: Cross multiply
    31,783.58x = 47,663.18 × 10,717.93
  4. Step 4: Simplify right side
    31,783.58x = 510,850,454.07
  5. Step 5: Solve for x
    x = 510,850,454.07/31,783.58
  6. Step 6: Final answer
    x = 16,072.78

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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.