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Finding the Fourth Proportional to 37,614.16, 56,381.82 and 17,869.06

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Solution

The fourth proportional to 37,614.16, 56,381.82 and 17,869.06 is: 26,784.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,614.16 : 56,381.82 = 17,869.06 : x
  2. Step 2: Convert to fraction form
    37,614.16/56,381.82 = 17,869.06/x
  3. Step 3: Cross multiply
    37,614.16x = 56,381.82 × 17,869.06
  4. Step 4: Simplify right side
    37,614.16x = 1,007,490,124.49
  5. Step 5: Solve for x
    x = 1,007,490,124.49/37,614.16
  6. Step 6: Final answer
    x = 26,784.86

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