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Finding the Fourth Proportional to 34,358.30, 47,413.50 and 20,212.10

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Solution

The fourth proportional to 34,358.30, 47,413.50 and 20,212.10 is: 27,892.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,358.30 : 47,413.50 = 20,212.10 : x
  2. Step 2: Convert to fraction form
    34,358.30/47,413.50 = 20,212.10/x
  3. Step 3: Cross multiply
    34,358.30x = 47,413.50 × 20,212.10
  4. Step 4: Simplify right side
    34,358.30x = 958,326,403.35
  5. Step 5: Solve for x
    x = 958,326,403.35/34,358.30
  6. Step 6: Final answer
    x = 27,892.14

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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.