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Finding the Fourth Proportional to 85,401.61, 128,033.17 and 35,519.02

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Solution

The fourth proportional to 85,401.61, 128,033.17 and 35,519.02 is: 53,249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,401.61 : 128,033.17 = 35,519.02 : x
  2. Step 2: Convert to fraction form
    85,401.61/128,033.17 = 35,519.02/x
  3. Step 3: Cross multiply
    85,401.61x = 128,033.17 × 35,519.02
  4. Step 4: Simplify right side
    85,401.61x = 4,547,612,317.01
  5. Step 5: Solve for x
    x = 4,547,612,317.01/85,401.61
  6. Step 6: Final answer
    x = 53,249.73

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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.