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Finding the Fourth Proportional to 30,803.69, 46,211.23 and 9,749.03

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Solution

The fourth proportional to 30,803.69, 46,211.23 and 9,749.03 is: 14,625.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,803.69 : 46,211.23 = 9,749.03 : x
  2. Step 2: Convert to fraction form
    30,803.69/46,211.23 = 9,749.03/x
  3. Step 3: Cross multiply
    30,803.69x = 46,211.23 × 9,749.03
  4. Step 4: Simplify right side
    30,803.69x = 450,514,667.61
  5. Step 5: Solve for x
    x = 450,514,667.61/30,803.69
  6. Step 6: Final answer
    x = 14,625.35

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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.