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Finding the Fourth Proportional to 37,844.34, 56,762.46 and 11,567.40

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Solution

The fourth proportional to 37,844.34, 56,762.46 and 11,567.40 is: 17,349.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,844.34 : 56,762.46 = 11,567.40 : x
  2. Step 2: Convert to fraction form
    37,844.34/56,762.46 = 11,567.40/x
  3. Step 3: Cross multiply
    37,844.34x = 56,762.46 × 11,567.40
  4. Step 4: Simplify right side
    37,844.34x = 656,594,079.80
  5. Step 5: Solve for x
    x = 656,594,079.80/37,844.34
  6. Step 6: Final answer
    x = 17,349.86

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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.