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Finding the Fourth Proportional to 34,366.16, 47,311.13 and 30,823.22

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Solution

The fourth proportional to 34,366.16, 47,311.13 and 30,823.22 is: 42,433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,366.16 : 47,311.13 = 30,823.22 : x
  2. Step 2: Convert to fraction form
    34,366.16/47,311.13 = 30,823.22/x
  3. Step 3: Cross multiply
    34,366.16x = 47,311.13 × 30,823.22
  4. Step 4: Simplify right side
    34,366.16x = 1,458,281,368.44
  5. Step 5: Solve for x
    x = 1,458,281,368.44/34,366.16
  6. Step 6: Final answer
    x = 42,433.64

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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.