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Finding the Fourth Proportional to 37,671.42, 56,507.58 and 11,376.42

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Solution

The fourth proportional to 37,671.42, 56,507.58 and 11,376.42 is: 17,064.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,671.42 : 56,507.58 = 11,376.42 : x
  2. Step 2: Convert to fraction form
    37,671.42/56,507.58 = 11,376.42/x
  3. Step 3: Cross multiply
    37,671.42x = 56,507.58 × 11,376.42
  4. Step 4: Simplify right side
    37,671.42x = 642,853,963.26
  5. Step 5: Solve for x
    x = 642,853,963.26/37,671.42
  6. Step 6: Final answer
    x = 17,064.77

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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.