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Finding the Fourth Proportional to 30,145.93, 45,218.90 and 10,413.72

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Solution

The fourth proportional to 30,145.93, 45,218.90 and 10,413.72 is: 15,620.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,145.93 : 45,218.90 = 10,413.72 : x
  2. Step 2: Convert to fraction form
    30,145.93/45,218.90 = 10,413.72/x
  3. Step 3: Cross multiply
    30,145.93x = 45,218.90 × 10,413.72
  4. Step 4: Simplify right side
    30,145.93x = 470,896,911.24
  5. Step 5: Solve for x
    x = 470,896,911.24/30,145.93
  6. Step 6: Final answer
    x = 15,620.58

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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.