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Finding the Fourth Proportional to 67,578, 101,413.08 and 23,802

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Solution

The fourth proportional to 67,578, 101,413.08 and 23,802 is: 35,719.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,578 : 101,413.08 = 23,802 : x
  2. Step 2: Convert to fraction form
    67,578/101,413.08 = 23,802/x
  3. Step 3: Cross multiply
    67,578x = 101,413.08 × 23,802
  4. Step 4: Simplify right side
    67,578x = 2,413,834,130.16
  5. Step 5: Solve for x
    x = 2,413,834,130.16/67,578
  6. Step 6: Final answer
    x = 35,719.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.