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Finding the Fourth Proportional to 36,978.93, 51,053.69 and 24,070.57

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Solution

The fourth proportional to 36,978.93, 51,053.69 and 24,070.57 is: 33,232.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,978.93 : 51,053.69 = 24,070.57 : x
  2. Step 2: Convert to fraction form
    36,978.93/51,053.69 = 24,070.57/x
  3. Step 3: Cross multiply
    36,978.93x = 51,053.69 × 24,070.57
  4. Step 4: Simplify right side
    36,978.93x = 1,228,891,351.45
  5. Step 5: Solve for x
    x = 1,228,891,351.45/36,978.93
  6. Step 6: Final answer
    x = 33,232.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.