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Finding the Fourth Proportional to 30,199.16, 45,316.55 and 11,494.94

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Solution

The fourth proportional to 30,199.16, 45,316.55 and 11,494.94 is: 17,249.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,199.16 : 45,316.55 = 11,494.94 : x
  2. Step 2: Convert to fraction form
    30,199.16/45,316.55 = 11,494.94/x
  3. Step 3: Cross multiply
    30,199.16x = 45,316.55 × 11,494.94
  4. Step 4: Simplify right side
    30,199.16x = 520,910,825.41
  5. Step 5: Solve for x
    x = 520,910,825.41/30,199.16
  6. Step 6: Final answer
    x = 17,249.18

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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.