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Finding the Fourth Proportional to 61,490.25, 92,149.65 and 46,485

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Solution

The fourth proportional to 61,490.25, 92,149.65 and 46,485 is: 69,662.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,490.25 : 92,149.65 = 46,485 : x
  2. Step 2: Convert to fraction form
    61,490.25/92,149.65 = 46,485/x
  3. Step 3: Cross multiply
    61,490.25x = 92,149.65 × 46,485
  4. Step 4: Simplify right side
    61,490.25x = 4,283,576,480.25
  5. Step 5: Solve for x
    x = 4,283,576,480.25/61,490.25
  6. Step 6: Final answer
    x = 69,662.69

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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.