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Finding the Fourth Proportional to 53,774, 74,203.88 and 29,899.20

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Solution

The fourth proportional to 53,774, 74,203.88 and 29,899.20 is: 41,258.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,774 : 74,203.88 = 29,899.20 : x
  2. Step 2: Convert to fraction form
    53,774/74,203.88 = 29,899.20/x
  3. Step 3: Cross multiply
    53,774x = 74,203.88 × 29,899.20
  4. Step 4: Simplify right side
    53,774x = 2,218,636,648.90
  5. Step 5: Solve for x
    x = 2,218,636,648.90/53,774
  6. Step 6: Final answer
    x = 41,258.54

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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.