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Finding the Fourth Proportional to 53,342.56, 73,611.66 and 29,469

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Solution

The fourth proportional to 53,342.56, 73,611.66 and 29,469 is: 40,666.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,342.56 : 73,611.66 = 29,469 : x
  2. Step 2: Convert to fraction form
    53,342.56/73,611.66 = 29,469/x
  3. Step 3: Cross multiply
    53,342.56x = 73,611.66 × 29,469
  4. Step 4: Simplify right side
    53,342.56x = 2,169,262,008.54
  5. Step 5: Solve for x
    x = 2,169,262,008.54/53,342.56
  6. Step 6: Final answer
    x = 40,666.63

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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.