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Finding the Fourth Proportional to 103,337, 155,006.94 and 29,465

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Solution

The fourth proportional to 103,337, 155,006.94 and 29,465 is: 44,197.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,337 : 155,006.94 = 29,465 : x
  2. Step 2: Convert to fraction form
    103,337/155,006.94 = 29,465/x
  3. Step 3: Cross multiply
    103,337x = 155,006.94 × 29,465
  4. Step 4: Simplify right side
    103,337x = 4,567,279,487.10
  5. Step 5: Solve for x
    x = 4,567,279,487.10/103,337
  6. Step 6: Final answer
    x = 44,197.91

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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.