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Finding the Fourth Proportional to 64,657.44, 96,850.80 and 52,106.40

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Solution

The fourth proportional to 64,657.44, 96,850.80 and 52,106.40 is: 78,050.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,657.44 : 96,850.80 = 52,106.40 : x
  2. Step 2: Convert to fraction form
    64,657.44/96,850.80 = 52,106.40/x
  3. Step 3: Cross multiply
    64,657.44x = 96,850.80 × 52,106.40
  4. Step 4: Simplify right side
    64,657.44x = 5,046,546,525.12
  5. Step 5: Solve for x
    x = 5,046,546,525.12/64,657.44
  6. Step 6: Final answer
    x = 78,050.52

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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.