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Finding the Fourth Proportional to 30,735.79, 42,415.36 and 17,307.14

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Solution

The fourth proportional to 30,735.79, 42,415.36 and 17,307.14 is: 23,883.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,735.79 : 42,415.36 = 17,307.14 : x
  2. Step 2: Convert to fraction form
    30,735.79/42,415.36 = 17,307.14/x
  3. Step 3: Cross multiply
    30,735.79x = 42,415.36 × 17,307.14
  4. Step 4: Simplify right side
    30,735.79x = 734,088,318.33
  5. Step 5: Solve for x
    x = 734,088,318.33/30,735.79
  6. Step 6: Final answer
    x = 23,883.83

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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.