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Finding the Fourth Proportional to 85,293.71, 117,580.71 and 59,719.48

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Solution

The fourth proportional to 85,293.71, 117,580.71 and 59,719.48 is: 82,325.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,293.71 : 117,580.71 = 59,719.48 : x
  2. Step 2: Convert to fraction form
    85,293.71/117,580.71 = 59,719.48/x
  3. Step 3: Cross multiply
    85,293.71x = 117,580.71 × 59,719.48
  4. Step 4: Simplify right side
    85,293.71x = 7,021,858,789.23
  5. Step 5: Solve for x
    x = 7,021,858,789.23/85,293.71
  6. Step 6: Final answer
    x = 82,325.64

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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.