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Finding the Fourth Proportional to 75,674.00, 104,480.43 and 47,036.45

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Solution

The fourth proportional to 75,674.00, 104,480.43 and 47,036.45 is: 64,941.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,674.00 : 104,480.43 = 47,036.45 : x
  2. Step 2: Convert to fraction form
    75,674.00/104,480.43 = 47,036.45/x
  3. Step 3: Cross multiply
    75,674.00x = 104,480.43 × 47,036.45
  4. Step 4: Simplify right side
    75,674.00x = 4,914,388,283.37
  5. Step 5: Solve for x
    x = 4,914,388,283.37/75,674.00
  6. Step 6: Final answer
    x = 64,941.57

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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.