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Finding the Fourth Proportional to 53,533.88, 73,873.92 and 29,660

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Solution

The fourth proportional to 53,533.88, 73,873.92 and 29,660 is: 40,929.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,533.88 : 73,873.92 = 29,660 : x
  2. Step 2: Convert to fraction form
    53,533.88/73,873.92 = 29,660/x
  3. Step 3: Cross multiply
    53,533.88x = 73,873.92 × 29,660
  4. Step 4: Simplify right side
    53,533.88x = 2,191,100,467.20
  5. Step 5: Solve for x
    x = 2,191,100,467.20/53,533.88
  6. Step 6: Final answer
    x = 40,929.23

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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.