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Finding the Fourth Proportional to 31,159.42, 42,994.92 and 18,410.83

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Solution

The fourth proportional to 31,159.42, 42,994.92 and 18,410.83 is: 25,403.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,159.42 : 42,994.92 = 18,410.83 : x
  2. Step 2: Convert to fraction form
    31,159.42/42,994.92 = 18,410.83/x
  3. Step 3: Cross multiply
    31,159.42x = 42,994.92 × 18,410.83
  4. Step 4: Simplify right side
    31,159.42x = 791,572,124.54
  5. Step 5: Solve for x
    x = 791,572,124.54/31,159.42
  6. Step 6: Final answer
    x = 25,403.94

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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.