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Finding the Fourth Proportional to 37,561.90, 51,818.86 and 22,447

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Solution

The fourth proportional to 37,561.90, 51,818.86 and 22,447 is: 30,966.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,561.90 : 51,818.86 = 22,447 : x
  2. Step 2: Convert to fraction form
    37,561.90/51,818.86 = 22,447/x
  3. Step 3: Cross multiply
    37,561.90x = 51,818.86 × 22,447
  4. Step 4: Simplify right side
    37,561.90x = 1,163,177,950.42
  5. Step 5: Solve for x
    x = 1,163,177,950.42/37,561.90
  6. Step 6: Final answer
    x = 30,966.96

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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.