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Finding the Fourth Proportional to 56,971.49, 85,450.14 and 35,626.06

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Solution

The fourth proportional to 56,971.49, 85,450.14 and 35,626.06 is: 53,434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,971.49 : 85,450.14 = 35,626.06 : x
  2. Step 2: Convert to fraction form
    56,971.49/85,450.14 = 35,626.06/x
  3. Step 3: Cross multiply
    56,971.49x = 85,450.14 × 35,626.06
  4. Step 4: Simplify right side
    56,971.49x = 3,044,251,814.65
  5. Step 5: Solve for x
    x = 3,044,251,814.65/56,971.49
  6. Step 6: Final answer
    x = 53,434.65

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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.