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Finding the Fourth Proportional to 34,989.34, 52,472.64 and 11,609.50

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Solution

The fourth proportional to 34,989.34, 52,472.64 and 11,609.50 is: 17,410.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,989.34 : 52,472.64 = 11,609.50 : x
  2. Step 2: Convert to fraction form
    34,989.34/52,472.64 = 11,609.50/x
  3. Step 3: Cross multiply
    34,989.34x = 52,472.64 × 11,609.50
  4. Step 4: Simplify right side
    34,989.34x = 609,181,114.08
  5. Step 5: Solve for x
    x = 609,181,114.08/34,989.34
  6. Step 6: Final answer
    x = 17,410.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.