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Finding the Fourth Proportional to 46,413.80, 64,078.52 and 30,525.66

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Solution

The fourth proportional to 46,413.80, 64,078.52 and 30,525.66 is: 42,143.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,413.80 : 64,078.52 = 30,525.66 : x
  2. Step 2: Convert to fraction form
    46,413.80/64,078.52 = 30,525.66/x
  3. Step 3: Cross multiply
    46,413.80x = 64,078.52 × 30,525.66
  4. Step 4: Simplify right side
    46,413.80x = 1,956,039,114.82
  5. Step 5: Solve for x
    x = 1,956,039,114.82/46,413.80
  6. Step 6: Final answer
    x = 42,143.48

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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.