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Finding the Fourth Proportional to 30,597.93, 45,898.02 and 8,413.04

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Solution

The fourth proportional to 30,597.93, 45,898.02 and 8,413.04 is: 12,619.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,597.93 : 45,898.02 = 8,413.04 : x
  2. Step 2: Convert to fraction form
    30,597.93/45,898.02 = 8,413.04/x
  3. Step 3: Cross multiply
    30,597.93x = 45,898.02 × 8,413.04
  4. Step 4: Simplify right side
    30,597.93x = 386,141,992.93
  5. Step 5: Solve for x
    x = 386,141,992.93/30,597.93
  6. Step 6: Final answer
    x = 12,619.87

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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.