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Finding the Fourth Proportional to 56,096, 77,413.94 and 30,602.78

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Solution

The fourth proportional to 56,096, 77,413.94 and 30,602.78 is: 42,232.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,096 : 77,413.94 = 30,602.78 : x
  2. Step 2: Convert to fraction form
    56,096/77,413.94 = 30,602.78/x
  3. Step 3: Cross multiply
    56,096x = 77,413.94 × 30,602.78
  4. Step 4: Simplify right side
    56,096x = 2,369,081,774.75
  5. Step 5: Solve for x
    x = 2,369,081,774.75/56,096
  6. Step 6: Final answer
    x = 42,232.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.