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Finding the Fourth Proportional to 30,739.32, 42,416.73 and 17,310.24

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Solution

The fourth proportional to 30,739.32, 42,416.73 and 17,310.24 is: 23,886.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,739.32 : 42,416.73 = 17,310.24 : x
  2. Step 2: Convert to fraction form
    30,739.32/42,416.73 = 17,310.24/x
  3. Step 3: Cross multiply
    30,739.32x = 42,416.73 × 17,310.24
  4. Step 4: Simplify right side
    30,739.32x = 734,243,776.32
  5. Step 5: Solve for x
    x = 734,243,776.32/30,739.32
  6. Step 6: Final answer
    x = 23,886.14

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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.