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Finding the Fourth Proportional to 85,583.36, 118,101.76 and 47,856.64

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Solution

The fourth proportional to 85,583.36, 118,101.76 and 47,856.64 is: 66,040.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,583.36 : 118,101.76 = 47,856.64 : x
  2. Step 2: Convert to fraction form
    85,583.36/118,101.76 = 47,856.64/x
  3. Step 3: Cross multiply
    85,583.36x = 118,101.76 × 47,856.64
  4. Step 4: Simplify right side
    85,583.36x = 5,651,953,411.69
  5. Step 5: Solve for x
    x = 5,651,953,411.69/85,583.36
  6. Step 6: Final answer
    x = 66,040.33

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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.