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Finding the Fourth Proportional to 74,059.02, 102,200.94 and 40,525.02

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Solution

The fourth proportional to 74,059.02, 102,200.94 and 40,525.02 is: 55,924.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,059.02 : 102,200.94 = 40,525.02 : x
  2. Step 2: Convert to fraction form
    74,059.02/102,200.94 = 40,525.02/x
  3. Step 3: Cross multiply
    74,059.02x = 102,200.94 × 40,525.02
  4. Step 4: Simplify right side
    74,059.02x = 4,141,695,137.52
  5. Step 5: Solve for x
    x = 4,141,695,137.52/74,059.02
  6. Step 6: Final answer
    x = 55,924.25

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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.