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Finding the Fourth Proportional to 37,317, 55,975.50 and 12,693

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Solution

The fourth proportional to 37,317, 55,975.50 and 12,693 is: 19,039.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,317 : 55,975.50 = 12,693 : x
  2. Step 2: Convert to fraction form
    37,317/55,975.50 = 12,693/x
  3. Step 3: Cross multiply
    37,317x = 55,975.50 × 12,693
  4. Step 4: Simplify right side
    37,317x = 710,497,021.50
  5. Step 5: Solve for x
    x = 710,497,021.50/37,317
  6. Step 6: Final answer
    x = 19,039.50

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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.