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Finding the Fourth Proportional to 64,017.37, 95,978.52 and 30,705.72

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Solution

The fourth proportional to 64,017.37, 95,978.52 and 30,705.72 is: 46,035.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,017.37 : 95,978.52 = 30,705.72 : x
  2. Step 2: Convert to fraction form
    64,017.37/95,978.52 = 30,705.72/x
  3. Step 3: Cross multiply
    64,017.37x = 95,978.52 × 30,705.72
  4. Step 4: Simplify right side
    64,017.37x = 2,947,089,201.21
  5. Step 5: Solve for x
    x = 2,947,089,201.21/64,017.37
  6. Step 6: Final answer
    x = 46,035.77

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Why These Related Problems?

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