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Finding the Fourth Proportional to 37,588.96, 56,392 and 11,294.16

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Solution

The fourth proportional to 37,588.96, 56,392 and 11,294.16 is: 16,943.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,588.96 : 56,392 = 11,294.16 : x
  2. Step 2: Convert to fraction form
    37,588.96/56,392 = 11,294.16/x
  3. Step 3: Cross multiply
    37,588.96x = 56,392 × 11,294.16
  4. Step 4: Simplify right side
    37,588.96x = 636,900,270.72
  5. Step 5: Solve for x
    x = 636,900,270.72/37,588.96
  6. Step 6: Final answer
    x = 16,943.81

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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.