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Finding the Fourth Proportional to 31,604.04, 47,413.08 and 10,827

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Solution

The fourth proportional to 31,604.04, 47,413.08 and 10,827 is: 16,242.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,604.04 : 47,413.08 = 10,827 : x
  2. Step 2: Convert to fraction form
    31,604.04/47,413.08 = 10,827/x
  3. Step 3: Cross multiply
    31,604.04x = 47,413.08 × 10,827
  4. Step 4: Simplify right side
    31,604.04x = 513,341,417.16
  5. Step 5: Solve for x
    x = 513,341,417.16/31,604.04
  6. Step 6: Final answer
    x = 16,242.90

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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.