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Finding the Fourth Proportional to 31,390.50, 43,322.74 and 18,142.50

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Solution

The fourth proportional to 31,390.50, 43,322.74 and 18,142.50 is: 25,038.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,390.50 : 43,322.74 = 18,142.50 : x
  2. Step 2: Convert to fraction form
    31,390.50/43,322.74 = 18,142.50/x
  3. Step 3: Cross multiply
    31,390.50x = 43,322.74 × 18,142.50
  4. Step 4: Simplify right side
    31,390.50x = 785,982,810.45
  5. Step 5: Solve for x
    x = 785,982,810.45/31,390.50
  6. Step 6: Final answer
    x = 25,038.88

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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.