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Finding the Fourth Proportional to 34,694.46, 51,957.80 and 19,858.40

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Solution

The fourth proportional to 34,694.46, 51,957.80 and 19,858.40 is: 29,739.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,694.46 : 51,957.80 = 19,858.40 : x
  2. Step 2: Convert to fraction form
    34,694.46/51,957.80 = 19,858.40/x
  3. Step 3: Cross multiply
    34,694.46x = 51,957.80 × 19,858.40
  4. Step 4: Simplify right side
    34,694.46x = 1,031,798,775.52
  5. Step 5: Solve for x
    x = 1,031,798,775.52/34,694.46
  6. Step 6: Final answer
    x = 29,739.58

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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.