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Finding the Fourth Proportional to 34,730.34, 52,076.97 and 11,031.48

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Solution

The fourth proportional to 34,730.34, 52,076.97 and 11,031.48 is: 16,541.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,730.34 : 52,076.97 = 11,031.48 : x
  2. Step 2: Convert to fraction form
    34,730.34/52,076.97 = 11,031.48/x
  3. Step 3: Cross multiply
    34,730.34x = 52,076.97 × 11,031.48
  4. Step 4: Simplify right side
    34,730.34x = 574,486,053.02
  5. Step 5: Solve for x
    x = 574,486,053.02/34,730.34
  6. Step 6: Final answer
    x = 16,541.33

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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.