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Finding the Fourth Proportional to 53,407, 73,700.44 and 29,533.87

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Solution

The fourth proportional to 53,407, 73,700.44 and 29,533.87 is: 40,756.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,407 : 73,700.44 = 29,533.87 : x
  2. Step 2: Convert to fraction form
    53,407/73,700.44 = 29,533.87/x
  3. Step 3: Cross multiply
    53,407x = 73,700.44 × 29,533.87
  4. Step 4: Simplify right side
    53,407x = 2,176,659,213.90
  5. Step 5: Solve for x
    x = 2,176,659,213.90/53,407
  6. Step 6: Final answer
    x = 40,756.07

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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.