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Finding the Fourth Proportional to 37,872.48, 56,816.16 and 11,580.96

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Solution

The fourth proportional to 37,872.48, 56,816.16 and 11,580.96 is: 17,373.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,872.48 : 56,816.16 = 11,580.96 : x
  2. Step 2: Convert to fraction form
    37,872.48/56,816.16 = 11,580.96/x
  3. Step 3: Cross multiply
    37,872.48x = 56,816.16 × 11,580.96
  4. Step 4: Simplify right side
    37,872.48x = 657,985,676.31
  5. Step 5: Solve for x
    x = 657,985,676.31/37,872.48
  6. Step 6: Final answer
    x = 17,373.72

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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.