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Finding the Fourth Proportional to 30,419.19, 45,616.26 and 9,354.09

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Solution

The fourth proportional to 30,419.19, 45,616.26 and 9,354.09 is: 14,027.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,419.19 : 45,616.26 = 9,354.09 : x
  2. Step 2: Convert to fraction form
    30,419.19/45,616.26 = 9,354.09/x
  3. Step 3: Cross multiply
    30,419.19x = 45,616.26 × 9,354.09
  4. Step 4: Simplify right side
    30,419.19x = 426,698,601.50
  5. Step 5: Solve for x
    x = 426,698,601.50/30,419.19
  6. Step 6: Final answer
    x = 14,027.28

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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.