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Finding the Fourth Proportional to 37,214.16, 51,342.84 and 23,061.84

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Solution

The fourth proportional to 37,214.16, 51,342.84 and 23,061.84 is: 31,817.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,214.16 : 51,342.84 = 23,061.84 : x
  2. Step 2: Convert to fraction form
    37,214.16/51,342.84 = 23,061.84/x
  3. Step 3: Cross multiply
    37,214.16x = 51,342.84 × 23,061.84
  4. Step 4: Simplify right side
    37,214.16x = 1,184,060,361.23
  5. Step 5: Solve for x
    x = 1,184,060,361.23/37,214.16
  6. Step 6: Final answer
    x = 31,817.47

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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.