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Finding the Fourth Proportional to 86,741, 119,702.58 and 46,997

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Solution

The fourth proportional to 86,741, 119,702.58 and 46,997 is: 64,855.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,741 : 119,702.58 = 46,997 : x
  2. Step 2: Convert to fraction form
    86,741/119,702.58 = 46,997/x
  3. Step 3: Cross multiply
    86,741x = 119,702.58 × 46,997
  4. Step 4: Simplify right side
    86,741x = 5,625,662,152.26
  5. Step 5: Solve for x
    x = 5,625,662,152.26/86,741
  6. Step 6: Final answer
    x = 64,855.86

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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.