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Finding the Fourth Proportional to 31,854.66, 47,783.81 and 9,668.76

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Solution

The fourth proportional to 31,854.66, 47,783.81 and 9,668.76 is: 14,503.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854.66 : 47,783.81 = 9,668.76 : x
  2. Step 2: Convert to fraction form
    31,854.66/47,783.81 = 9,668.76/x
  3. Step 3: Cross multiply
    31,854.66x = 47,783.81 × 9,668.76
  4. Step 4: Simplify right side
    31,854.66x = 462,010,190.78
  5. Step 5: Solve for x
    x = 462,010,190.78/31,854.66
  6. Step 6: Final answer
    x = 14,503.69

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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.