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Finding the Fourth Proportional to 31,038.50, 42,825.66 and 18,292.19

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Solution

The fourth proportional to 31,038.50, 42,825.66 and 18,292.19 is: 25,238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,038.50 : 42,825.66 = 18,292.19 : x
  2. Step 2: Convert to fraction form
    31,038.50/42,825.66 = 18,292.19/x
  3. Step 3: Cross multiply
    31,038.50x = 42,825.66 × 18,292.19
  4. Step 4: Simplify right side
    31,038.50x = 783,375,109.60
  5. Step 5: Solve for x
    x = 783,375,109.60/31,038.50
  6. Step 6: Final answer
    x = 25,238.82

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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.