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Finding the Fourth Proportional to 68,597.86, 102,826.63 and 46,413.58

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Solution

The fourth proportional to 68,597.86, 102,826.63 and 46,413.58 is: 69,572.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,597.86 : 102,826.63 = 46,413.58 : x
  2. Step 2: Convert to fraction form
    68,597.86/102,826.63 = 46,413.58/x
  3. Step 3: Cross multiply
    68,597.86x = 102,826.63 × 46,413.58
  4. Step 4: Simplify right side
    68,597.86x = 4,772,552,017.64
  5. Step 5: Solve for x
    x = 4,772,552,017.64/68,597.86
  6. Step 6: Final answer
    x = 69,572.90

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Why These Related Problems?

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