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Finding the Fourth Proportional to 85,364.36, 117,802.92 and 47,638.64

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Solution

The fourth proportional to 85,364.36, 117,802.92 and 47,638.64 is: 65,741.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,364.36 : 117,802.92 = 47,638.64 : x
  2. Step 2: Convert to fraction form
    85,364.36/117,802.92 = 47,638.64/x
  3. Step 3: Cross multiply
    85,364.36x = 117,802.92 × 47,638.64
  4. Step 4: Simplify right side
    85,364.36x = 5,611,970,896.83
  5. Step 5: Solve for x
    x = 5,611,970,896.83/85,364.36
  6. Step 6: Final answer
    x = 65,741.38

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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.