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Finding the Fourth Proportional to 30,742.44, 42,424.74 and 17,313.93

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Solution

The fourth proportional to 30,742.44, 42,424.74 and 17,313.93 is: 23,893.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,742.44 : 42,424.74 = 17,313.93 : x
  2. Step 2: Convert to fraction form
    30,742.44/42,424.74 = 17,313.93/x
  3. Step 3: Cross multiply
    30,742.44x = 42,424.74 × 17,313.93
  4. Step 4: Simplify right side
    30,742.44x = 734,538,978.63
  5. Step 5: Solve for x
    x = 734,538,978.63/30,742.44
  6. Step 6: Final answer
    x = 23,893.32

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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.