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Finding the Fourth Proportional to 29,670.96, 40,932.84 and 17,728.32

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Solution

The fourth proportional to 29,670.96, 40,932.84 and 17,728.32 is: 24,457.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,670.96 : 40,932.84 = 17,728.32 : x
  2. Step 2: Convert to fraction form
    29,670.96/40,932.84 = 17,728.32/x
  3. Step 3: Cross multiply
    29,670.96x = 40,932.84 × 17,728.32
  4. Step 4: Simplify right side
    29,670.96x = 725,670,486.03
  5. Step 5: Solve for x
    x = 725,670,486.03/29,670.96
  6. Step 6: Final answer
    x = 24,457.26

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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.