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Finding the Fourth Proportional to 76,647.50, 114,774.41 and 46,975.44

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Solution

The fourth proportional to 76,647.50, 114,774.41 and 46,975.44 is: 70,342.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,647.50 : 114,774.41 = 46,975.44 : x
  2. Step 2: Convert to fraction form
    76,647.50/114,774.41 = 46,975.44/x
  3. Step 3: Cross multiply
    76,647.50x = 114,774.41 × 46,975.44
  4. Step 4: Simplify right side
    76,647.50x = 5,391,578,175.61
  5. Step 5: Solve for x
    x = 5,391,578,175.61/76,647.50
  6. Step 6: Final answer
    x = 70,342.52

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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.