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Finding the Fourth Proportional to 31,030.37, 42,825.07 and 18,287.52

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Solution

The fourth proportional to 31,030.37, 42,825.07 and 18,287.52 is: 25,238.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,030.37 : 42,825.07 = 18,287.52 : x
  2. Step 2: Convert to fraction form
    31,030.37/42,825.07 = 18,287.52/x
  3. Step 3: Cross multiply
    31,030.37x = 42,825.07 × 18,287.52
  4. Step 4: Simplify right side
    31,030.37x = 783,164,324.13
  5. Step 5: Solve for x
    x = 783,164,324.13/31,030.37
  6. Step 6: Final answer
    x = 25,238.64

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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.