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Finding the Fourth Proportional to 47,059.76, 64,942.54 and 25,840.38

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Solution

The fourth proportional to 47,059.76, 64,942.54 and 25,840.38 is: 35,659.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,059.76 : 64,942.54 = 25,840.38 : x
  2. Step 2: Convert to fraction form
    47,059.76/64,942.54 = 25,840.38/x
  3. Step 3: Cross multiply
    47,059.76x = 64,942.54 × 25,840.38
  4. Step 4: Simplify right side
    47,059.76x = 1,678,139,911.77
  5. Step 5: Solve for x
    x = 1,678,139,911.77/47,059.76
  6. Step 6: Final answer
    x = 35,659.76

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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.