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Finding the Fourth Proportional to 31,059.24, 42,852.42 and 28,065.48

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Solution

The fourth proportional to 31,059.24, 42,852.42 and 28,065.48 is: 38,721.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,059.24 : 42,852.42 = 28,065.48 : x
  2. Step 2: Convert to fraction form
    31,059.24/42,852.42 = 28,065.48/x
  3. Step 3: Cross multiply
    31,059.24x = 42,852.42 × 28,065.48
  4. Step 4: Simplify right side
    31,059.24x = 1,202,673,736.46
  5. Step 5: Solve for x
    x = 1,202,673,736.46/31,059.24
  6. Step 6: Final answer
    x = 38,721.93

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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.