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Finding the Fourth Proportional to 49,522.50, 74,283.75 and 14,462.46

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Solution

The fourth proportional to 49,522.50, 74,283.75 and 14,462.46 is: 21,693.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,522.50 : 74,283.75 = 14,462.46 : x
  2. Step 2: Convert to fraction form
    49,522.50/74,283.75 = 14,462.46/x
  3. Step 3: Cross multiply
    49,522.50x = 74,283.75 × 14,462.46
  4. Step 4: Simplify right side
    49,522.50x = 1,074,325,763.03
  5. Step 5: Solve for x
    x = 1,074,325,763.03/49,522.50
  6. Step 6: Final answer
    x = 21,693.69

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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.