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Finding the Fourth Proportional to 35,894.68, 53,837.70 and 9,601.48

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Solution

The fourth proportional to 35,894.68, 53,837.70 and 9,601.48 is: 14,401.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,894.68 : 53,837.70 = 9,601.48 : x
  2. Step 2: Convert to fraction form
    35,894.68/53,837.70 = 9,601.48/x
  3. Step 3: Cross multiply
    35,894.68x = 53,837.70 × 9,601.48
  4. Step 4: Simplify right side
    35,894.68x = 516,921,599.80
  5. Step 5: Solve for x
    x = 516,921,599.80/35,894.68
  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.