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Finding the Fourth Proportional to 37,533.72, 56,294.10 and 11,231.40

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Solution

The fourth proportional to 37,533.72, 56,294.10 and 11,231.40 is: 16,845.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,533.72 : 56,294.10 = 11,231.40 : x
  2. Step 2: Convert to fraction form
    37,533.72/56,294.10 = 11,231.40/x
  3. Step 3: Cross multiply
    37,533.72x = 56,294.10 × 11,231.40
  4. Step 4: Simplify right side
    37,533.72x = 632,261,554.74
  5. Step 5: Solve for x
    x = 632,261,554.74/37,533.72
  6. Step 6: Final answer
    x = 16,845.16

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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.