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Finding the Fourth Proportional to 34,040.76, 46,963.35 and 21,114.05

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Solution

The fourth proportional to 34,040.76, 46,963.35 and 21,114.05 is: 29,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,040.76 : 46,963.35 = 21,114.05 : x
  2. Step 2: Convert to fraction form
    34,040.76/46,963.35 = 21,114.05/x
  3. Step 3: Cross multiply
    34,040.76x = 46,963.35 × 21,114.05
  4. Step 4: Simplify right side
    34,040.76x = 991,586,285.25
  5. Step 5: Solve for x
    x = 991,586,285.25/34,040.76
  6. Step 6: Final answer
    x = 29,129.38

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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.