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Finding the Fourth Proportional to 37,643.46, 51,950.34 and 20,876.46

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Solution

The fourth proportional to 37,643.46, 51,950.34 and 20,876.46 is: 28,810.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,643.46 : 51,950.34 = 20,876.46 : x
  2. Step 2: Convert to fraction form
    37,643.46/51,950.34 = 20,876.46/x
  3. Step 3: Cross multiply
    37,643.46x = 51,950.34 × 20,876.46
  4. Step 4: Simplify right side
    37,643.46x = 1,084,539,195.00
  5. Step 5: Solve for x
    x = 1,084,539,195.00/37,643.46
  6. Step 6: Final answer
    x = 28,810.83

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1.5x scale

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.