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Finding the Fourth Proportional to 35,702.14, 53,234.02 and 34,721.26

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Solution

The fourth proportional to 35,702.14, 53,234.02 and 34,721.26 is: 51,771.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,702.14 : 53,234.02 = 34,721.26 : x
  2. Step 2: Convert to fraction form
    35,702.14/53,234.02 = 34,721.26/x
  3. Step 3: Cross multiply
    35,702.14x = 53,234.02 × 34,721.26
  4. Step 4: Simplify right side
    35,702.14x = 1,848,352,148.01
  5. Step 5: Solve for x
    x = 1,848,352,148.01/35,702.14
  6. Step 6: Final answer
    x = 51,771.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.