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Finding the Fourth Proportional to 34,885.72, 48,142.38 and 18,970.16

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Solution

The fourth proportional to 34,885.72, 48,142.38 and 18,970.16 is: 26,178.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,885.72 : 48,142.38 = 18,970.16 : x
  2. Step 2: Convert to fraction form
    34,885.72/48,142.38 = 18,970.16/x
  3. Step 3: Cross multiply
    34,885.72x = 48,142.38 × 18,970.16
  4. Step 4: Simplify right side
    34,885.72x = 913,268,651.38
  5. Step 5: Solve for x
    x = 913,268,651.38/34,885.72
  6. Step 6: Final answer
    x = 26,178.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.