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Finding the Fourth Proportional to 34,538.66, 51,808.12 and 9,580.66

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Solution

The fourth proportional to 34,538.66, 51,808.12 and 9,580.66 is: 14,371.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,538.66 : 51,808.12 = 9,580.66 : x
  2. Step 2: Convert to fraction form
    34,538.66/51,808.12 = 9,580.66/x
  3. Step 3: Cross multiply
    34,538.66x = 51,808.12 × 9,580.66
  4. Step 4: Simplify right side
    34,538.66x = 496,355,982.96
  5. Step 5: Solve for x
    x = 496,355,982.96/34,538.66
  6. Step 6: Final answer
    x = 14,371.03

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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.