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Finding the Fourth Proportional to 47,239, 65,184.15 and 27,094.84

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Solution

The fourth proportional to 47,239, 65,184.15 and 27,094.84 is: 37,387.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,239 : 65,184.15 = 27,094.84 : x
  2. Step 2: Convert to fraction form
    47,239/65,184.15 = 27,094.84/x
  3. Step 3: Cross multiply
    47,239x = 65,184.15 × 27,094.84
  4. Step 4: Simplify right side
    47,239x = 1,766,154,114.79
  5. Step 5: Solve for x
    x = 1,766,154,114.79/47,239
  6. Step 6: Final answer
    x = 37,387.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.