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Finding the Fourth Proportional to 34,178.36, 47,166.16 and 20,031.20

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Solution

The fourth proportional to 34,178.36, 47,166.16 and 20,031.20 is: 27,643.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,178.36 : 47,166.16 = 20,031.20 : x
  2. Step 2: Convert to fraction form
    34,178.36/47,166.16 = 20,031.20/x
  3. Step 3: Cross multiply
    34,178.36x = 47,166.16 × 20,031.20
  4. Step 4: Simplify right side
    34,178.36x = 944,794,784.19
  5. Step 5: Solve for x
    x = 944,794,784.19/34,178.36
  6. Step 6: Final answer
    x = 27,643.07

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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.