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Finding the Fourth Proportional to 53,662.92, 74,054.28 and 29,789

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Solution

The fourth proportional to 53,662.92, 74,054.28 and 29,789 is: 41,108.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,662.92 : 74,054.28 = 29,789 : x
  2. Step 2: Convert to fraction form
    53,662.92/74,054.28 = 29,789/x
  3. Step 3: Cross multiply
    53,662.92x = 74,054.28 × 29,789
  4. Step 4: Simplify right side
    53,662.92x = 2,206,002,946.92
  5. Step 5: Solve for x
    x = 2,206,002,946.92/53,662.92
  6. Step 6: Final answer
    x = 41,108.51

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1.5x scale

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.