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Finding the Fourth Proportional to 73,930.98, 102,025.74 and 42,100.01

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Solution

The fourth proportional to 73,930.98, 102,025.74 and 42,100.01 is: 58,098.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,930.98 : 102,025.74 = 42,100.01 : x
  2. Step 2: Convert to fraction form
    73,930.98/102,025.74 = 42,100.01/x
  3. Step 3: Cross multiply
    73,930.98x = 102,025.74 × 42,100.01
  4. Step 4: Simplify right side
    73,930.98x = 4,295,284,674.26
  5. Step 5: Solve for x
    x = 4,295,284,674.26/73,930.98
  6. Step 6: Final answer
    x = 58,098.58

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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.