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Finding the Fourth Proportional to 30,033.78, 45,073.11 and 11,332.26

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Solution

The fourth proportional to 30,033.78, 45,073.11 and 11,332.26 is: 17,006.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,033.78 : 45,073.11 = 11,332.26 : x
  2. Step 2: Convert to fraction form
    30,033.78/45,073.11 = 11,332.26/x
  3. Step 3: Cross multiply
    30,033.78x = 45,073.11 × 11,332.26
  4. Step 4: Simplify right side
    30,033.78x = 510,779,919.50
  5. Step 5: Solve for x
    x = 510,779,919.50/30,033.78
  6. Step 6: Final answer
    x = 17,006.85

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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.