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Finding the Fourth Proportional to 31,130.88, 42,909.38 and 22,059.28

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Solution

The fourth proportional to 31,130.88, 42,909.38 and 22,059.28 is: 30,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,130.88 : 42,909.38 = 22,059.28 : x
  2. Step 2: Convert to fraction form
    31,130.88/42,909.38 = 22,059.28/x
  3. Step 3: Cross multiply
    31,130.88x = 42,909.38 × 22,059.28
  4. Step 4: Simplify right side
    31,130.88x = 946,550,028.05
  5. Step 5: Solve for x
    x = 946,550,028.05/31,130.88
  6. Step 6: Final answer
    x = 30,405.50

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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.