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Finding the Fourth Proportional to 73,932.98, 102,028.50 and 42,102.01

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Solution

The fourth proportional to 73,932.98, 102,028.50 and 42,102.01 is: 58,101.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,932.98 : 102,028.50 = 42,102.01 : x
  2. Step 2: Convert to fraction form
    73,932.98/102,028.50 = 42,102.01/x
  3. Step 3: Cross multiply
    73,932.98x = 102,028.50 × 42,102.01
  4. Step 4: Simplify right side
    73,932.98x = 4,295,604,927.29
  5. Step 5: Solve for x
    x = 4,295,604,927.29/73,932.98
  6. Step 6: Final answer
    x = 58,101.34

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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.