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Finding the Fourth Proportional to 85,896.66, 118,533.39 and 47,655.80

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Solution

The fourth proportional to 85,896.66, 118,533.39 and 47,655.80 is: 65,762.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,896.66 : 118,533.39 = 47,655.80 : x
  2. Step 2: Convert to fraction form
    85,896.66/118,533.39 = 47,655.80/x
  3. Step 3: Cross multiply
    85,896.66x = 118,533.39 × 47,655.80
  4. Step 4: Simplify right side
    85,896.66x = 5,648,803,100.61
  5. Step 5: Solve for x
    x = 5,648,803,100.61/85,896.66
  6. Step 6: Final answer
    x = 65,762.78

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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.