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Finding the Fourth Proportional to 35,695.41, 53,537.99 and 9,400.15

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Solution

The fourth proportional to 35,695.41, 53,537.99 and 9,400.15 is: 14,098.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,695.41 : 53,537.99 = 9,400.15 : x
  2. Step 2: Convert to fraction form
    35,695.41/53,537.99 = 9,400.15/x
  3. Step 3: Cross multiply
    35,695.41x = 53,537.99 × 9,400.15
  4. Step 4: Simplify right side
    35,695.41x = 503,265,183.06
  5. Step 5: Solve for x
    x = 503,265,183.06/35,695.41
  6. Step 6: Final answer
    x = 14,098.88

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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.