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Finding the Fourth Proportional to 31,007.60, 46,511.40 and 10,233.20

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Solution

The fourth proportional to 31,007.60, 46,511.40 and 10,233.20 is: 15,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,007.60 : 46,511.40 = 10,233.20 : x
  2. Step 2: Convert to fraction form
    31,007.60/46,511.40 = 10,233.20/x
  3. Step 3: Cross multiply
    31,007.60x = 46,511.40 × 10,233.20
  4. Step 4: Simplify right side
    31,007.60x = 475,960,458.48
  5. Step 5: Solve for x
    x = 475,960,458.48/31,007.60
  6. Step 6: Final answer
    x = 15,349.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.