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Finding the Fourth Proportional to 30,493.16, 42,081.34 and 17,064.32

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Solution

The fourth proportional to 30,493.16, 42,081.34 and 17,064.32 is: 23,549.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,493.16 : 42,081.34 = 17,064.32 : x
  2. Step 2: Convert to fraction form
    30,493.16/42,081.34 = 17,064.32/x
  3. Step 3: Cross multiply
    30,493.16x = 42,081.34 × 17,064.32
  4. Step 4: Simplify right side
    30,493.16x = 718,089,451.79
  5. Step 5: Solve for x
    x = 718,089,451.79/30,493.16
  6. Step 6: Final answer
    x = 23,549.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.