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Finding the Fourth Proportional to 46,634.38, 64,353.72 and 25,413.28

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Solution

The fourth proportional to 46,634.38, 64,353.72 and 25,413.28 is: 35,069.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,634.38 : 64,353.72 = 25,413.28 : x
  2. Step 2: Convert to fraction form
    46,634.38/64,353.72 = 25,413.28/x
  3. Step 3: Cross multiply
    46,634.38x = 64,353.72 × 25,413.28
  4. Step 4: Simplify right side
    46,634.38x = 1,635,439,105.40
  5. Step 5: Solve for x
    x = 1,635,439,105.40/46,634.38
  6. Step 6: Final answer
    x = 35,069.39

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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.