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Finding the Fourth Proportional to 115,782.94, 173,650.10 and 32,657.50

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Solution

The fourth proportional to 115,782.94, 173,650.10 and 32,657.50 is: 48,979.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,782.94 : 173,650.10 = 32,657.50 : x
  2. Step 2: Convert to fraction form
    115,782.94/173,650.10 = 32,657.50/x
  3. Step 3: Cross multiply
    115,782.94x = 173,650.10 × 32,657.50
  4. Step 4: Simplify right side
    115,782.94x = 5,670,977,272.50
  5. Step 5: Solve for x
    x = 5,670,977,272.50/115,782.94
  6. Step 6: Final answer
    x = 48,979.39

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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.