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Finding the Fourth Proportional to 37,635, 56,452.53 and 9,557.16

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Solution

The fourth proportional to 37,635, 56,452.53 and 9,557.16 is: 14,335.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,635 : 56,452.53 = 9,557.16 : x
  2. Step 2: Convert to fraction form
    37,635/56,452.53 = 9,557.16/x
  3. Step 3: Cross multiply
    37,635x = 56,452.53 × 9,557.16
  4. Step 4: Simplify right side
    37,635x = 539,525,861.61
  5. Step 5: Solve for x
    x = 539,525,861.61/37,635
  6. Step 6: Final answer
    x = 14,335.75

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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.