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Finding the Fourth Proportional to 49,533.36, 74,319 and 29,826

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Solution

The fourth proportional to 49,533.36, 74,319 and 29,826 is: 44,750.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,533.36 : 74,319 = 29,826 : x
  2. Step 2: Convert to fraction form
    49,533.36/74,319 = 29,826/x
  3. Step 3: Cross multiply
    49,533.36x = 74,319 × 29,826
  4. Step 4: Simplify right side
    49,533.36x = 2,216,638,494
  5. Step 5: Solve for x
    x = 2,216,638,494/49,533.36
  6. Step 6: Final answer
    x = 44,750.42

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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.