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Finding the Fourth Proportional to 59,509.64, 82,123.29 and 34,016.54

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Solution

The fourth proportional to 59,509.64, 82,123.29 and 34,016.54 is: 46,942.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,509.64 : 82,123.29 = 34,016.54 : x
  2. Step 2: Convert to fraction form
    59,509.64/82,123.29 = 34,016.54/x
  3. Step 3: Cross multiply
    59,509.64x = 82,123.29 × 34,016.54
  4. Step 4: Simplify right side
    59,509.64x = 2,793,549,768.60
  5. Step 5: Solve for x
    x = 2,793,549,768.60/59,509.64
  6. Step 6: Final answer
    x = 46,942.81

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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.