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Finding the Fourth Proportional to 82,586.00, 113,966.82 and 48,128.60

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Solution

The fourth proportional to 82,586.00, 113,966.82 and 48,128.60 is: 66,416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,586.00 : 113,966.82 = 48,128.60 : x
  2. Step 2: Convert to fraction form
    82,586.00/113,966.82 = 48,128.60/x
  3. Step 3: Cross multiply
    82,586.00x = 113,966.82 × 48,128.60
  4. Step 4: Simplify right side
    82,586.00x = 5,485,062,923.22
  5. Step 5: Solve for x
    x = 5,485,062,923.22/82,586.00
  6. Step 6: Final answer
    x = 66,416.38

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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.