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Finding the Fourth Proportional to 37,624, 56,435.43 and 9,161.22

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Solution

The fourth proportional to 37,624, 56,435.43 and 9,161.22 is: 13,741.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,624 : 56,435.43 = 9,161.22 : x
  2. Step 2: Convert to fraction form
    37,624/56,435.43 = 9,161.22/x
  3. Step 3: Cross multiply
    37,624x = 56,435.43 × 9,161.22
  4. Step 4: Simplify right side
    37,624x = 517,017,390.02
  5. Step 5: Solve for x
    x = 517,017,390.02/37,624
  6. Step 6: Final answer
    x = 13,741.69

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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.