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Finding the Fourth Proportional to 55,598.16, 83,425.32 and 27,894

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Solution

The fourth proportional to 55,598.16, 83,425.32 and 27,894 is: 41,855.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,598.16 : 83,425.32 = 27,894 : x
  2. Step 2: Convert to fraction form
    55,598.16/83,425.32 = 27,894/x
  3. Step 3: Cross multiply
    55,598.16x = 83,425.32 × 27,894
  4. Step 4: Simplify right side
    55,598.16x = 2,327,065,876.08
  5. Step 5: Solve for x
    x = 2,327,065,876.08/55,598.16
  6. Step 6: Final answer
    x = 41,855.09

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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.