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Finding the Fourth Proportional to 37,717, 56,575.50 and 9,637.12

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Solution

The fourth proportional to 37,717, 56,575.50 and 9,637.12 is: 14,455.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,717 : 56,575.50 = 9,637.12 : x
  2. Step 2: Convert to fraction form
    37,717/56,575.50 = 9,637.12/x
  3. Step 3: Cross multiply
    37,717x = 56,575.50 × 9,637.12
  4. Step 4: Simplify right side
    37,717x = 545,224,741.12
  5. Step 5: Solve for x
    x = 545,224,741.12/37,717
  6. Step 6: Final answer
    x = 14,455.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.