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Finding the Fourth Proportional to 46,342.66, 69,174.84 and 39,810.82

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Solution

The fourth proportional to 46,342.66, 69,174.84 and 39,810.82 is: 59,424.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,342.66 : 69,174.84 = 39,810.82 : x
  2. Step 2: Convert to fraction form
    46,342.66/69,174.84 = 39,810.82/x
  3. Step 3: Cross multiply
    46,342.66x = 69,174.84 × 39,810.82
  4. Step 4: Simplify right side
    46,342.66x = 2,753,907,103.77
  5. Step 5: Solve for x
    x = 2,753,907,103.77/46,342.66
  6. Step 6: Final answer
    x = 59,424.88

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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.