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Finding the Fourth Proportional to 27,946, 41,931.15 and 10,413.55

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Solution

The fourth proportional to 27,946, 41,931.15 and 10,413.55 is: 15,624.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,946 : 41,931.15 = 10,413.55 : x
  2. Step 2: Convert to fraction form
    27,946/41,931.15 = 10,413.55/x
  3. Step 3: Cross multiply
    27,946x = 41,931.15 × 10,413.55
  4. Step 4: Simplify right side
    27,946x = 436,652,127.08
  5. Step 5: Solve for x
    x = 436,652,127.08/27,946
  6. Step 6: Final answer
    x = 15,624.85

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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.