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Finding the Fourth Proportional to 30,069, 45,102.13 and 7,881.89

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Solution

The fourth proportional to 30,069, 45,102.13 and 7,881.89 is: 11,822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,069 : 45,102.13 = 7,881.89 : x
  2. Step 2: Convert to fraction form
    30,069/45,102.13 = 7,881.89/x
  3. Step 3: Cross multiply
    30,069x = 45,102.13 × 7,881.89
  4. Step 4: Simplify right side
    30,069x = 355,489,782.21
  5. Step 5: Solve for x
    x = 355,489,782.21/30,069
  6. Step 6: Final answer
    x = 11,822.47

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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.