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Finding the Fourth Proportional to 31,907.01, 47,867.43 and 9,719.80

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Solution

The fourth proportional to 31,907.01, 47,867.43 and 9,719.80 is: 14,581.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907.01 : 47,867.43 = 9,719.80 : x
  2. Step 2: Convert to fraction form
    31,907.01/47,867.43 = 9,719.80/x
  3. Step 3: Cross multiply
    31,907.01x = 47,867.43 × 9,719.80
  4. Step 4: Simplify right side
    31,907.01x = 465,261,846.11
  5. Step 5: Solve for x
    x = 465,261,846.11/31,907.01
  6. Step 6: Final answer
    x = 14,581.81

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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.