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Finding the Fourth Proportional to 37,527.50, 51,788.92 and 22,624.46

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Solution

The fourth proportional to 37,527.50, 51,788.92 and 22,624.46 is: 31,222.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,527.50 : 51,788.92 = 22,624.46 : x
  2. Step 2: Convert to fraction form
    37,527.50/51,788.92 = 22,624.46/x
  3. Step 3: Cross multiply
    37,527.50x = 51,788.92 × 22,624.46
  4. Step 4: Simplify right side
    37,527.50x = 1,171,696,348.98
  5. Step 5: Solve for x
    x = 1,171,696,348.98/37,527.50
  6. Step 6: Final answer
    x = 31,222.34

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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.