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Finding the Fourth Proportional to 42,676.20, 58,893.18 and 23,813.32

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Solution

The fourth proportional to 42,676.20, 58,893.18 and 23,813.32 is: 32,862.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,676.20 : 58,893.18 = 23,813.32 : x
  2. Step 2: Convert to fraction form
    42,676.20/58,893.18 = 23,813.32/x
  3. Step 3: Cross multiply
    42,676.20x = 58,893.18 × 23,813.32
  4. Step 4: Simplify right side
    42,676.20x = 1,402,442,141.16
  5. Step 5: Solve for x
    x = 1,402,442,141.16/42,676.20
  6. Step 6: Final answer
    x = 32,862.39

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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.