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Finding the Fourth Proportional to 31,152, 46,735.80 and 8,964.89

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Solution

The fourth proportional to 31,152, 46,735.80 and 8,964.89 is: 13,449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,152 : 46,735.80 = 8,964.89 : x
  2. Step 2: Convert to fraction form
    31,152/46,735.80 = 8,964.89/x
  3. Step 3: Cross multiply
    31,152x = 46,735.80 × 8,964.89
  4. Step 4: Simplify right side
    31,152x = 418,981,306.06
  5. Step 5: Solve for x
    x = 418,981,306.06/31,152
  6. Step 6: Final answer
    x = 13,449.58

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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.