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Finding the Fourth Proportional to 30,892.48, 42,629.52 and 17,464.24

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Solution

The fourth proportional to 30,892.48, 42,629.52 and 17,464.24 is: 24,099.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892.48 : 42,629.52 = 17,464.24 : x
  2. Step 2: Convert to fraction form
    30,892.48/42,629.52 = 17,464.24/x
  3. Step 3: Cross multiply
    30,892.48x = 42,629.52 × 17,464.24
  4. Step 4: Simplify right side
    30,892.48x = 744,492,168.36
  5. Step 5: Solve for x
    x = 744,492,168.36/30,892.48
  6. Step 6: Final answer
    x = 24,099.46

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Similar ratio
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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.