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Finding the Fourth Proportional to 122,646.54, 183,969.82 and 38,413.30

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Solution

The fourth proportional to 122,646.54, 183,969.82 and 38,413.30 is: 57,619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,646.54 : 183,969.82 = 38,413.30 : x
  2. Step 2: Convert to fraction form
    122,646.54/183,969.82 = 38,413.30/x
  3. Step 3: Cross multiply
    122,646.54x = 183,969.82 × 38,413.30
  4. Step 4: Simplify right side
    122,646.54x = 7,066,887,886.61
  5. Step 5: Solve for x
    x = 7,066,887,886.61/122,646.54
  6. Step 6: Final answer
    x = 57,619.95

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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.