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Finding the Fourth Proportional to 30,735.90, 42,415.07 and 17,307.11

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Solution

The fourth proportional to 30,735.90, 42,415.07 and 17,307.11 is: 23,883.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,735.90 : 42,415.07 = 17,307.11 : x
  2. Step 2: Convert to fraction form
    30,735.90/42,415.07 = 17,307.11/x
  3. Step 3: Cross multiply
    30,735.90x = 42,415.07 × 17,307.11
  4. Step 4: Simplify right side
    30,735.90x = 734,082,282.15
  5. Step 5: Solve for x
    x = 734,082,282.15/30,735.90
  6. Step 6: Final answer
    x = 23,883.55

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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.