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Finding the Fourth Proportional to 103,670.80, 155,467.32 and 44,476

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Solution

The fourth proportional to 103,670.80, 155,467.32 and 44,476 is: 66,697.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,670.80 : 155,467.32 = 44,476 : x
  2. Step 2: Convert to fraction form
    103,670.80/155,467.32 = 44,476/x
  3. Step 3: Cross multiply
    103,670.80x = 155,467.32 × 44,476
  4. Step 4: Simplify right side
    103,670.80x = 6,914,564,524.32
  5. Step 5: Solve for x
    x = 6,914,564,524.32/103,670.80
  6. Step 6: Final answer
    x = 66,697.32

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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.