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Finding the Fourth Proportional to 37,758.40, 56,644.40 and 15,559.64

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Solution

The fourth proportional to 37,758.40, 56,644.40 and 15,559.64 is: 23,342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,758.40 : 56,644.40 = 15,559.64 : x
  2. Step 2: Convert to fraction form
    37,758.40/56,644.40 = 15,559.64/x
  3. Step 3: Cross multiply
    37,758.40x = 56,644.40 × 15,559.64
  4. Step 4: Simplify right side
    37,758.40x = 881,366,472.02
  5. Step 5: Solve for x
    x = 881,366,472.02/37,758.40
  6. Step 6: Final answer
    x = 23,342.26

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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.