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Finding the Fourth Proportional to 47,094, 64,995.48 and 27,222

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Solution

The fourth proportional to 47,094, 64,995.48 and 27,222 is: 37,569.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,094 : 64,995.48 = 27,222 : x
  2. Step 2: Convert to fraction form
    47,094/64,995.48 = 27,222/x
  3. Step 3: Cross multiply
    47,094x = 64,995.48 × 27,222
  4. Step 4: Simplify right side
    47,094x = 1,769,306,956.56
  5. Step 5: Solve for x
    x = 1,769,306,956.56/47,094
  6. Step 6: Final answer
    x = 37,569.69

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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.