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Finding the Fourth Proportional to 29,317, 43,975.50 and 12,901

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Solution

The fourth proportional to 29,317, 43,975.50 and 12,901 is: 19,351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,317 : 43,975.50 = 12,901 : x
  2. Step 2: Convert to fraction form
    29,317/43,975.50 = 12,901/x
  3. Step 3: Cross multiply
    29,317x = 43,975.50 × 12,901
  4. Step 4: Simplify right side
    29,317x = 567,327,925.50
  5. Step 5: Solve for x
    x = 567,327,925.50/29,317
  6. Step 6: Final answer
    x = 19,351.50

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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.