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Finding the Fourth Proportional to 30,054.28, 45,062.70 and 13,413.64

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Solution

The fourth proportional to 30,054.28, 45,062.70 and 13,413.64 is: 20,112.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,054.28 : 45,062.70 = 13,413.64 : x
  2. Step 2: Convert to fraction form
    30,054.28/45,062.70 = 13,413.64/x
  3. Step 3: Cross multiply
    30,054.28x = 45,062.70 × 13,413.64
  4. Step 4: Simplify right side
    30,054.28x = 604,454,835.23
  5. Step 5: Solve for x
    x = 604,454,835.23/30,054.28
  6. Step 6: Final answer
    x = 20,112.11

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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.