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Finding the Fourth Proportional to 53,489.88, 73,842.78 and 34,642.20

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Solution

The fourth proportional to 53,489.88, 73,842.78 and 34,642.20 is: 47,823.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,489.88 : 73,842.78 = 34,642.20 : x
  2. Step 2: Convert to fraction form
    53,489.88/73,842.78 = 34,642.20/x
  3. Step 3: Cross multiply
    53,489.88x = 73,842.78 × 34,642.20
  4. Step 4: Simplify right side
    53,489.88x = 2,558,076,353.32
  5. Step 5: Solve for x
    x = 2,558,076,353.32/53,489.88
  6. Step 6: Final answer
    x = 47,823.56

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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.