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Finding the Fourth Proportional to 30,734.66, 42,413.42 and 17,307.24

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Solution

The fourth proportional to 30,734.66, 42,413.42 and 17,307.24 is: 23,883.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,734.66 : 42,413.42 = 17,307.24 : x
  2. Step 2: Convert to fraction form
    30,734.66/42,413.42 = 17,307.24/x
  3. Step 3: Cross multiply
    30,734.66x = 42,413.42 × 17,307.24
  4. Step 4: Simplify right side
    30,734.66x = 734,059,123.38
  5. Step 5: Solve for x
    x = 734,059,123.38/30,734.66
  6. Step 6: Final answer
    x = 23,883.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.