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Finding the Fourth Proportional to 31,007.52, 42,810.12 and 20,415.42

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Solution

The fourth proportional to 31,007.52, 42,810.12 and 20,415.42 is: 28,186.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,007.52 : 42,810.12 = 20,415.42 : x
  2. Step 2: Convert to fraction form
    31,007.52/42,810.12 = 20,415.42/x
  3. Step 3: Cross multiply
    31,007.52x = 42,810.12 × 20,415.42
  4. Step 4: Simplify right side
    31,007.52x = 873,986,580.05
  5. Step 5: Solve for x
    x = 873,986,580.05/31,007.52
  6. Step 6: Final answer
    x = 28,186.28

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