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Finding the Fourth Proportional to 69,804.98, 96,330.43 and 37,974

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Solution

The fourth proportional to 69,804.98, 96,330.43 and 37,974 is: 52,403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,804.98 : 96,330.43 = 37,974 : x
  2. Step 2: Convert to fraction form
    69,804.98/96,330.43 = 37,974/x
  3. Step 3: Cross multiply
    69,804.98x = 96,330.43 × 37,974
  4. Step 4: Simplify right side
    69,804.98x = 3,658,051,748.82
  5. Step 5: Solve for x
    x = 3,658,051,748.82/69,804.98
  6. Step 6: Final answer
    x = 52,403.88

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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.