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Finding the Fourth Proportional to 43,217, 64,825.50 and 14,033

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Solution

The fourth proportional to 43,217, 64,825.50 and 14,033 is: 21,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,217 : 64,825.50 = 14,033 : x
  2. Step 2: Convert to fraction form
    43,217/64,825.50 = 14,033/x
  3. Step 3: Cross multiply
    43,217x = 64,825.50 × 14,033
  4. Step 4: Simplify right side
    43,217x = 909,696,241.50
  5. Step 5: Solve for x
    x = 909,696,241.50/43,217
  6. Step 6: Final answer
    x = 21,049.50

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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.