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Finding the Fourth Proportional to 102,979.78, 154,448.06 and 29,090.50

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Solution

The fourth proportional to 102,979.78, 154,448.06 and 29,090.50 is: 43,629.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,979.78 : 154,448.06 = 29,090.50 : x
  2. Step 2: Convert to fraction form
    102,979.78/154,448.06 = 29,090.50/x
  3. Step 3: Cross multiply
    102,979.78x = 154,448.06 × 29,090.50
  4. Step 4: Simplify right side
    102,979.78x = 4,492,971,289.43
  5. Step 5: Solve for x
    x = 4,492,971,289.43/102,979.78
  6. Step 6: Final answer
    x = 43,629.65

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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.