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Finding the Fourth Proportional to 56,059.38, 77,359.32 and 33,413.40

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Solution

The fourth proportional to 56,059.38, 77,359.32 and 33,413.40 is: 46,108.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,059.38 : 77,359.32 = 33,413.40 : x
  2. Step 2: Convert to fraction form
    56,059.38/77,359.32 = 33,413.40/x
  3. Step 3: Cross multiply
    56,059.38x = 77,359.32 × 33,413.40
  4. Step 4: Simplify right side
    56,059.38x = 2,584,837,902.89
  5. Step 5: Solve for x
    x = 2,584,837,902.89/56,059.38
  6. Step 6: Final answer
    x = 46,108.93

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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.