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Finding the Fourth Proportional to 37,643.50, 56,466.42 and 13,956.94

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Solution

The fourth proportional to 37,643.50, 56,466.42 and 13,956.94 is: 20,935.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,643.50 : 56,466.42 = 13,956.94 : x
  2. Step 2: Convert to fraction form
    37,643.50/56,466.42 = 13,956.94/x
  3. Step 3: Cross multiply
    37,643.50x = 56,466.42 × 13,956.94
  4. Step 4: Simplify right side
    37,643.50x = 788,098,435.95
  5. Step 5: Solve for x
    x = 788,098,435.95/37,643.50
  6. Step 6: Final answer
    x = 20,935.84

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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.