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Finding the Fourth Proportional to 129,609.13, 194,413.69 and 31,113.13

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Solution

The fourth proportional to 129,609.13, 194,413.69 and 31,113.13 is: 46,669.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,609.13 : 194,413.69 = 31,113.13 : x
  2. Step 2: Convert to fraction form
    129,609.13/194,413.69 = 31,113.13/x
  3. Step 3: Cross multiply
    129,609.13x = 194,413.69 × 31,113.13
  4. Step 4: Simplify right side
    129,609.13x = 6,048,818,410.75
  5. Step 5: Solve for x
    x = 6,048,818,410.75/129,609.13
  6. Step 6: Final answer
    x = 46,669.69

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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.