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Finding the Fourth Proportional to 47,748.44, 65,902.76 and 27,602.52

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Solution

The fourth proportional to 47,748.44, 65,902.76 and 27,602.52 is: 38,097.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,748.44 : 65,902.76 = 27,602.52 : x
  2. Step 2: Convert to fraction form
    47,748.44/65,902.76 = 27,602.52/x
  3. Step 3: Cross multiply
    47,748.44x = 65,902.76 × 27,602.52
  4. Step 4: Simplify right side
    47,748.44x = 1,819,082,495.28
  5. Step 5: Solve for x
    x = 1,819,082,495.28/47,748.44
  6. Step 6: Final answer
    x = 38,097.22

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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.