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Finding the Fourth Proportional to 31,228.38, 46,842.53 and 7,854.81

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Solution

The fourth proportional to 31,228.38, 46,842.53 and 7,854.81 is: 11,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,228.38 : 46,842.53 = 7,854.81 : x
  2. Step 2: Convert to fraction form
    31,228.38/46,842.53 = 7,854.81/x
  3. Step 3: Cross multiply
    31,228.38x = 46,842.53 × 7,854.81
  4. Step 4: Simplify right side
    31,228.38x = 367,939,133.80
  5. Step 5: Solve for x
    x = 367,939,133.80/31,228.38
  6. Step 6: Final answer
    x = 11,782.20

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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.