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Finding the Fourth Proportional to 31,024.80, 42,813.72 and 16,878

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Solution

The fourth proportional to 31,024.80, 42,813.72 and 16,878 is: 23,291.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,024.80 : 42,813.72 = 16,878 : x
  2. Step 2: Convert to fraction form
    31,024.80/42,813.72 = 16,878/x
  3. Step 3: Cross multiply
    31,024.80x = 42,813.72 × 16,878
  4. Step 4: Simplify right side
    31,024.80x = 722,609,966.16
  5. Step 5: Solve for x
    x = 722,609,966.16/31,024.80
  6. Step 6: Final answer
    x = 23,291.37

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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.