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Finding the Fourth Proportional to 36,653.25, 55,254.53 and 34,212

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Solution

The fourth proportional to 36,653.25, 55,254.53 and 34,212 is: 51,574.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,653.25 : 55,254.53 = 34,212 : x
  2. Step 2: Convert to fraction form
    36,653.25/55,254.53 = 34,212/x
  3. Step 3: Cross multiply
    36,653.25x = 55,254.53 × 34,212
  4. Step 4: Simplify right side
    36,653.25x = 1,890,367,980.36
  5. Step 5: Solve for x
    x = 1,890,367,980.36/36,653.25
  6. Step 6: Final answer
    x = 51,574.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.