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Finding the Fourth Proportional to 34,030.52, 51,051.22 and 11,850.20

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Solution

The fourth proportional to 34,030.52, 51,051.22 and 11,850.20 is: 17,777.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,030.52 : 51,051.22 = 11,850.20 : x
  2. Step 2: Convert to fraction form
    34,030.52/51,051.22 = 11,850.20/x
  3. Step 3: Cross multiply
    34,030.52x = 51,051.22 × 11,850.20
  4. Step 4: Simplify right side
    34,030.52x = 604,966,882.36
  5. Step 5: Solve for x
    x = 604,966,882.36/34,030.52
  6. Step 6: Final answer
    x = 17,777.19

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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.