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Finding the Fourth Proportional to 56,096.37, 77,413.02 and 32,221.38

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Solution

The fourth proportional to 56,096.37, 77,413.02 and 32,221.38 is: 44,465.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,096.37 : 77,413.02 = 32,221.38 : x
  2. Step 2: Convert to fraction form
    56,096.37/77,413.02 = 32,221.38/x
  3. Step 3: Cross multiply
    56,096.37x = 77,413.02 × 32,221.38
  4. Step 4: Simplify right side
    56,096.37x = 2,494,354,334.37
  5. Step 5: Solve for x
    x = 2,494,354,334.37/56,096.37
  6. Step 6: Final answer
    x = 44,465.52

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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.