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Finding the Fourth Proportional to 143,036.74, 214,565.64 and 37,855

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Solution

The fourth proportional to 143,036.74, 214,565.64 and 37,855 is: 56,785.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,036.74 : 214,565.64 = 37,855 : x
  2. Step 2: Convert to fraction form
    143,036.74/214,565.64 = 37,855/x
  3. Step 3: Cross multiply
    143,036.74x = 214,565.64 × 37,855
  4. Step 4: Simplify right side
    143,036.74x = 8,122,382,302.20
  5. Step 5: Solve for x
    x = 8,122,382,302.20/143,036.74
  6. Step 6: Final answer
    x = 56,785.29

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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.