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Finding the Fourth Proportional to 74,586.84, 111,856.41 and 24,657.63

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Solution

The fourth proportional to 74,586.84, 111,856.41 and 24,657.63 is: 36,978.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,586.84 : 111,856.41 = 24,657.63 : x
  2. Step 2: Convert to fraction form
    74,586.84/111,856.41 = 24,657.63/x
  3. Step 3: Cross multiply
    74,586.84x = 111,856.41 × 24,657.63
  4. Step 4: Simplify right side
    74,586.84x = 2,758,113,970.91
  5. Step 5: Solve for x
    x = 2,758,113,970.91/74,586.84
  6. Step 6: Final answer
    x = 36,978.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.