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Finding the Fourth Proportional to 53,769.60, 74,198.40 and 29,894.40

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Solution

The fourth proportional to 53,769.60, 74,198.40 and 29,894.40 is: 41,252.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,769.60 : 74,198.40 = 29,894.40 : x
  2. Step 2: Convert to fraction form
    53,769.60/74,198.40 = 29,894.40/x
  3. Step 3: Cross multiply
    53,769.60x = 74,198.40 × 29,894.40
  4. Step 4: Simplify right side
    53,769.60x = 2,218,116,648.96
  5. Step 5: Solve for x
    x = 2,218,116,648.96/53,769.60
  6. Step 6: Final answer
    x = 41,252.24

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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.