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Finding the Fourth Proportional to 35,893.98, 53,837.19 and 9,601.38

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Solution

The fourth proportional to 35,893.98, 53,837.19 and 9,601.38 is: 14,401.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,893.98 : 53,837.19 = 9,601.38 : x
  2. Step 2: Convert to fraction form
    35,893.98/53,837.19 = 9,601.38/x
  3. Step 3: Cross multiply
    35,893.98x = 53,837.19 × 9,601.38
  4. Step 4: Simplify right side
    35,893.98x = 516,911,319.32
  5. Step 5: Solve for x
    x = 516,911,319.32/35,893.98
  6. Step 6: Final answer
    x = 14,401.06

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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.