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Finding the Fourth Proportional to 60,270.50, 83,171 and 33,413.46

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Solution

The fourth proportional to 60,270.50, 83,171 and 33,413.46 is: 46,109.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,270.50 : 83,171 = 33,413.46 : x
  2. Step 2: Convert to fraction form
    60,270.50/83,171 = 33,413.46/x
  3. Step 3: Cross multiply
    60,270.50x = 83,171 × 33,413.46
  4. Step 4: Simplify right side
    60,270.50x = 2,779,030,881.66
  5. Step 5: Solve for x
    x = 2,779,030,881.66/60,270.50
  6. Step 6: Final answer
    x = 46,109.31

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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.