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Finding the Fourth Proportional to 31,096.65, 46,608.47 and 14,421.57

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Solution

The fourth proportional to 31,096.65, 46,608.47 and 14,421.57 is: 21,615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,096.65 : 46,608.47 = 14,421.57 : x
  2. Step 2: Convert to fraction form
    31,096.65/46,608.47 = 14,421.57/x
  3. Step 3: Cross multiply
    31,096.65x = 46,608.47 × 14,421.57
  4. Step 4: Simplify right side
    31,096.65x = 672,167,240.59
  5. Step 5: Solve for x
    x = 672,167,240.59/31,096.65
  6. Step 6: Final answer
    x = 21,615.42

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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.