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Finding the Fourth Proportional to 34,855.16, 52,274.88 and 9,894.69

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Solution

The fourth proportional to 34,855.16, 52,274.88 and 9,894.69 is: 14,839.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,855.16 : 52,274.88 = 9,894.69 : x
  2. Step 2: Convert to fraction form
    34,855.16/52,274.88 = 9,894.69/x
  3. Step 3: Cross multiply
    34,855.16x = 52,274.88 × 9,894.69
  4. Step 4: Simplify right side
    34,855.16x = 517,243,732.39
  5. Step 5: Solve for x
    x = 517,243,732.39/34,855.16
  6. Step 6: Final answer
    x = 14,839.81

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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.