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Finding the Fourth Proportional to 30,297.38, 45,447.68 and 9,522.50

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Solution

The fourth proportional to 30,297.38, 45,447.68 and 9,522.50 is: 14,284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,297.38 : 45,447.68 = 9,522.50 : x
  2. Step 2: Convert to fraction form
    30,297.38/45,447.68 = 9,522.50/x
  3. Step 3: Cross multiply
    30,297.38x = 45,447.68 × 9,522.50
  4. Step 4: Simplify right side
    30,297.38x = 432,775,329.37
  5. Step 5: Solve for x
    x = 432,775,329.37/30,297.38
  6. Step 6: Final answer
    x = 14,284.25

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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.