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Finding the Fourth Proportional to 31,154.69, 42,993.46 and 17,007.53

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Solution

The fourth proportional to 31,154.69, 42,993.46 and 17,007.53 is: 23,470.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,154.69 : 42,993.46 = 17,007.53 : x
  2. Step 2: Convert to fraction form
    31,154.69/42,993.46 = 17,007.53/x
  3. Step 3: Cross multiply
    31,154.69x = 42,993.46 × 17,007.53
  4. Step 4: Simplify right side
    31,154.69x = 731,212,621.51
  5. Step 5: Solve for x
    x = 731,212,621.51/31,154.69
  6. Step 6: Final answer
    x = 23,470.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.