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Finding the Fourth Proportional to 42,599.96, 58,788 and 24,705.38

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Solution

The fourth proportional to 42,599.96, 58,788 and 24,705.38 is: 34,093.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,599.96 : 58,788 = 24,705.38 : x
  2. Step 2: Convert to fraction form
    42,599.96/58,788 = 24,705.38/x
  3. Step 3: Cross multiply
    42,599.96x = 58,788 × 24,705.38
  4. Step 4: Simplify right side
    42,599.96x = 1,452,379,879.44
  5. Step 5: Solve for x
    x = 1,452,379,879.44/42,599.96
  6. Step 6: Final answer
    x = 34,093.46

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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.