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Finding the Fourth Proportional to 86,650.36, 130,016.86 and 47,206.60

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Solution

The fourth proportional to 86,650.36, 130,016.86 and 47,206.60 is: 70,832.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,650.36 : 130,016.86 = 47,206.60 : x
  2. Step 2: Convert to fraction form
    86,650.36/130,016.86 = 47,206.60/x
  3. Step 3: Cross multiply
    86,650.36x = 130,016.86 × 47,206.60
  4. Step 4: Simplify right side
    86,650.36x = 6,137,653,903.28
  5. Step 5: Solve for x
    x = 6,137,653,903.28/86,650.36
  6. Step 6: Final answer
    x = 70,832.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.