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Finding the Fourth Proportional to 53,357, 73,632.36 and 29,483.68

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Solution

The fourth proportional to 53,357, 73,632.36 and 29,483.68 is: 40,687.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,357 : 73,632.36 = 29,483.68 : x
  2. Step 2: Convert to fraction form
    53,357/73,632.36 = 29,483.68/x
  3. Step 3: Cross multiply
    53,357x = 73,632.36 × 29,483.68
  4. Step 4: Simplify right side
    53,357x = 2,170,952,939.88
  5. Step 5: Solve for x
    x = 2,170,952,939.88/53,357
  6. Step 6: Final answer
    x = 40,687.31

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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.