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Finding the Fourth Proportional to 53,612, 73,984.56 and 29,742.24

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Solution

The fourth proportional to 53,612, 73,984.56 and 29,742.24 is: 41,044.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,612 : 73,984.56 = 29,742.24 : x
  2. Step 2: Convert to fraction form
    53,612/73,984.56 = 29,742.24/x
  3. Step 3: Cross multiply
    53,612x = 73,984.56 × 29,742.24
  4. Step 4: Simplify right side
    53,612x = 2,200,466,539.81
  5. Step 5: Solve for x
    x = 2,200,466,539.81/53,612
  6. Step 6: Final answer
    x = 41,044.29

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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.