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Finding the Fourth Proportional to 31,066.86, 42,872.76 and 17,637.84

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Solution

The fourth proportional to 31,066.86, 42,872.76 and 17,637.84 is: 24,340.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,066.86 : 42,872.76 = 17,637.84 : x
  2. Step 2: Convert to fraction form
    31,066.86/42,872.76 = 17,637.84/x
  3. Step 3: Cross multiply
    31,066.86x = 42,872.76 × 17,637.84
  4. Step 4: Simplify right side
    31,066.86x = 756,182,881.24
  5. Step 5: Solve for x
    x = 756,182,881.24/31,066.86
  6. Step 6: Final answer
    x = 24,340.50

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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.