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Finding the Fourth Proportional to 31,802.57, 47,708.73 and 10,448.58

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Solution

The fourth proportional to 31,802.57, 47,708.73 and 10,448.58 is: 15,674.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,802.57 : 47,708.73 = 10,448.58 : x
  2. Step 2: Convert to fraction form
    31,802.57/47,708.73 = 10,448.58/x
  3. Step 3: Cross multiply
    31,802.57x = 47,708.73 × 10,448.58
  4. Step 4: Simplify right side
    31,802.57x = 498,488,392.65
  5. Step 5: Solve for x
    x = 498,488,392.65/31,802.57
  6. Step 6: Final answer
    x = 15,674.47

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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.