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Finding the Fourth Proportional to 30,739.84, 42,421.10 and 17,311.12

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Solution

The fourth proportional to 30,739.84, 42,421.10 and 17,311.12 is: 23,889.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,739.84 : 42,421.10 = 17,311.12 : x
  2. Step 2: Convert to fraction form
    30,739.84/42,421.10 = 17,311.12/x
  3. Step 3: Cross multiply
    30,739.84x = 42,421.10 × 17,311.12
  4. Step 4: Simplify right side
    30,739.84x = 734,356,752.63
  5. Step 5: Solve for x
    x = 734,356,752.63/30,739.84
  6. Step 6: Final answer
    x = 23,889.41

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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.