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Finding the Fourth Proportional to 34,283.31, 47,310.01 and 19,176

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Solution

The fourth proportional to 34,283.31, 47,310.01 and 19,176 is: 26,462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,283.31 : 47,310.01 = 19,176 : x
  2. Step 2: Convert to fraction form
    34,283.31/47,310.01 = 19,176/x
  3. Step 3: Cross multiply
    34,283.31x = 47,310.01 × 19,176
  4. Step 4: Simplify right side
    34,283.31x = 907,216,751.76
  5. Step 5: Solve for x
    x = 907,216,751.76/34,283.31
  6. Step 6: Final answer
    x = 26,462.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.