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Finding the Fourth Proportional to 35,894.62, 53,841.93 and 9,598.68

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Solution

The fourth proportional to 35,894.62, 53,841.93 and 9,598.68 is: 14,398.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,894.62 : 53,841.93 = 9,598.68 : x
  2. Step 2: Convert to fraction form
    35,894.62/53,841.93 = 9,598.68/x
  3. Step 3: Cross multiply
    35,894.62x = 53,841.93 × 9,598.68
  4. Step 4: Simplify right side
    35,894.62x = 516,811,420.66
  5. Step 5: Solve for x
    x = 516,811,420.66/35,894.62
  6. Step 6: Final answer
    x = 14,398.02

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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.