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Finding the Fourth Proportional to 37,506.24, 51,750.24 and 22,392

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Solution

The fourth proportional to 37,506.24, 51,750.24 and 22,392 is: 30,895.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,506.24 : 51,750.24 = 22,392 : x
  2. Step 2: Convert to fraction form
    37,506.24/51,750.24 = 22,392/x
  3. Step 3: Cross multiply
    37,506.24x = 51,750.24 × 22,392
  4. Step 4: Simplify right side
    37,506.24x = 1,158,791,374.08
  5. Step 5: Solve for x
    x = 1,158,791,374.08/37,506.24
  6. Step 6: Final answer
    x = 30,895.96

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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.