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Finding the Fourth Proportional to 31,602.15, 47,405.66 and 9,413.82

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Solution

The fourth proportional to 31,602.15, 47,405.66 and 9,413.82 is: 14,121.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,602.15 : 47,405.66 = 9,413.82 : x
  2. Step 2: Convert to fraction form
    31,602.15/47,405.66 = 9,413.82/x
  3. Step 3: Cross multiply
    31,602.15x = 47,405.66 × 9,413.82
  4. Step 4: Simplify right side
    31,602.15x = 446,268,303.15
  5. Step 5: Solve for x
    x = 446,268,303.15/31,602.15
  6. Step 6: Final answer
    x = 14,121.45

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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.