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Finding the Fourth Proportional to 47,266, 65,225.04 and 27,108.88

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Solution

The fourth proportional to 47,266, 65,225.04 and 27,108.88 is: 37,409.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,266 : 65,225.04 = 27,108.88 : x
  2. Step 2: Convert to fraction form
    47,266/65,225.04 = 27,108.88/x
  3. Step 3: Cross multiply
    47,266x = 65,225.04 × 27,108.88
  4. Step 4: Simplify right side
    47,266x = 1,768,177,782.36
  5. Step 5: Solve for x
    x = 1,768,177,782.36/47,266
  6. Step 6: Final answer
    x = 37,409.08

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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.