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Finding the Fourth Proportional to 42,635.87, 63,998.16 and 31,403.89

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Solution

The fourth proportional to 42,635.87, 63,998.16 and 31,403.89 is: 47,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,635.87 : 63,998.16 = 31,403.89 : x
  2. Step 2: Convert to fraction form
    42,635.87/63,998.16 = 31,403.89/x
  3. Step 3: Cross multiply
    42,635.87x = 63,998.16 × 31,403.89
  4. Step 4: Simplify right side
    42,635.87x = 2,009,790,699.83
  5. Step 5: Solve for x
    x = 2,009,790,699.83/42,635.87
  6. Step 6: Final answer
    x = 47,138.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.