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Finding the Fourth Proportional to 49,826.55, 74,750.47 and 18,236.47

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Solution

The fourth proportional to 49,826.55, 74,750.47 and 18,236.47 is: 27,358.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,826.55 : 74,750.47 = 18,236.47 : x
  2. Step 2: Convert to fraction form
    49,826.55/74,750.47 = 18,236.47/x
  3. Step 3: Cross multiply
    49,826.55x = 74,750.47 × 18,236.47
  4. Step 4: Simplify right side
    49,826.55x = 1,363,184,471.17
  5. Step 5: Solve for x
    x = 1,363,184,471.17/49,826.55
  6. Step 6: Final answer
    x = 27,358.60

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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.