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Finding the Fourth Proportional to 95,064, 142,603.68 and 29,400

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Solution

The fourth proportional to 95,064, 142,603.68 and 29,400 is: 44,102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,064 : 142,603.68 = 29,400 : x
  2. Step 2: Convert to fraction form
    95,064/142,603.68 = 29,400/x
  3. Step 3: Cross multiply
    95,064x = 142,603.68 × 29,400
  4. Step 4: Simplify right side
    95,064x = 4,192,548,192
  5. Step 5: Solve for x
    x = 4,192,548,192/95,064
  6. Step 6: Final answer
    x = 44,102.38

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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.