Home / 31,827.26-47,741.16-9,642.38

Finding the Fourth Proportional to 31,827.26, 47,741.16 and 9,642.38

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Solution

The fourth proportional to 31,827.26, 47,741.16 and 9,642.38 is: 14,463.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,827.26 : 47,741.16 = 9,642.38 : x
  2. Step 2: Convert to fraction form
    31,827.26/47,741.16 = 9,642.38/x
  3. Step 3: Cross multiply
    31,827.26x = 47,741.16 × 9,642.38
  4. Step 4: Simplify right side
    31,827.26x = 460,338,406.36
  5. Step 5: Solve for x
    x = 460,338,406.36/31,827.26
  6. Step 6: Final answer
    x = 14,463.65

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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.