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Finding the Fourth Proportional to 76,550, 114,829.32 and 27,302

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Solution

The fourth proportional to 76,550, 114,829.32 and 27,302 is: 40,954.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,550 : 114,829.32 = 27,302 : x
  2. Step 2: Convert to fraction form
    76,550/114,829.32 = 27,302/x
  3. Step 3: Cross multiply
    76,550x = 114,829.32 × 27,302
  4. Step 4: Simplify right side
    76,550x = 3,135,070,094.64
  5. Step 5: Solve for x
    x = 3,135,070,094.64/76,550
  6. Step 6: Final answer
    x = 40,954.54

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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.