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Finding the Fourth Proportional to 85,358.48, 117,845.16 and 61,546.64

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Solution

The fourth proportional to 85,358.48, 117,845.16 and 61,546.64 is: 84,970.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,358.48 : 117,845.16 = 61,546.64 : x
  2. Step 2: Convert to fraction form
    85,358.48/117,845.16 = 61,546.64/x
  3. Step 3: Cross multiply
    85,358.48x = 117,845.16 × 61,546.64
  4. Step 4: Simplify right side
    85,358.48x = 7,252,973,638.26
  5. Step 5: Solve for x
    x = 7,252,973,638.26/85,358.48
  6. Step 6: Final answer
    x = 84,970.75

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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.