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Finding the Fourth Proportional to 30,986.34, 46,490.04 and 11,266.48

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Solution

The fourth proportional to 30,986.34, 46,490.04 and 11,266.48 is: 16,903.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,986.34 : 46,490.04 = 11,266.48 : x
  2. Step 2: Convert to fraction form
    30,986.34/46,490.04 = 11,266.48/x
  3. Step 3: Cross multiply
    30,986.34x = 46,490.04 × 11,266.48
  4. Step 4: Simplify right side
    30,986.34x = 523,779,105.86
  5. Step 5: Solve for x
    x = 523,779,105.86/30,986.34
  6. Step 6: Final answer
    x = 16,903.55

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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.