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Finding the Fourth Proportional to 41,964, 62,955.72 and 14,262

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Solution

The fourth proportional to 41,964, 62,955.72 and 14,262 is: 21,396.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,964 : 62,955.72 = 14,262 : x
  2. Step 2: Convert to fraction form
    41,964/62,955.72 = 14,262/x
  3. Step 3: Cross multiply
    41,964x = 62,955.72 × 14,262
  4. Step 4: Simplify right side
    41,964x = 897,874,478.64
  5. Step 5: Solve for x
    x = 897,874,478.64/41,964
  6. Step 6: Final answer
    x = 21,396.30

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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.