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Finding the Fourth Proportional to 37,501.64, 56,264.16 and 11,207.42

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Solution

The fourth proportional to 37,501.64, 56,264.16 and 11,207.42 is: 16,814.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,501.64 : 56,264.16 = 11,207.42 : x
  2. Step 2: Convert to fraction form
    37,501.64/56,264.16 = 11,207.42/x
  3. Step 3: Cross multiply
    37,501.64x = 56,264.16 × 11,207.42
  4. Step 4: Simplify right side
    37,501.64x = 630,576,072.07
  5. Step 5: Solve for x
    x = 630,576,072.07/37,501.64
  6. Step 6: Final answer
    x = 16,814.63

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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.