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Finding the Fourth Proportional to 39,413.76, 59,104.32 and 16,024.32

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Solution

The fourth proportional to 39,413.76, 59,104.32 and 16,024.32 is: 24,029.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,413.76 : 59,104.32 = 16,024.32 : x
  2. Step 2: Convert to fraction form
    39,413.76/59,104.32 = 16,024.32/x
  3. Step 3: Cross multiply
    39,413.76x = 59,104.32 × 16,024.32
  4. Step 4: Simplify right side
    39,413.76x = 947,106,537.06
  5. Step 5: Solve for x
    x = 947,106,537.06/39,413.76
  6. Step 6: Final answer
    x = 24,029.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.