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Finding the Fourth Proportional to 85,762.44, 118,410 and 53,546.16

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Solution

The fourth proportional to 85,762.44, 118,410 and 53,546.16 is: 73,929.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,762.44 : 118,410 = 53,546.16 : x
  2. Step 2: Convert to fraction form
    85,762.44/118,410 = 53,546.16/x
  3. Step 3: Cross multiply
    85,762.44x = 118,410 × 53,546.16
  4. Step 4: Simplify right side
    85,762.44x = 6,340,400,805.60
  5. Step 5: Solve for x
    x = 6,340,400,805.60/85,762.44
  6. Step 6: Final answer
    x = 73,929.81

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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.