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Finding the Fourth Proportional to 75,614.74, 104,173.65 and 54,357.22

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Solution

The fourth proportional to 75,614.74, 104,173.65 and 54,357.22 is: 74,887.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,614.74 : 104,173.65 = 54,357.22 : x
  2. Step 2: Convert to fraction form
    75,614.74/104,173.65 = 54,357.22/x
  3. Step 3: Cross multiply
    75,614.74x = 104,173.65 × 54,357.22
  4. Step 4: Simplify right side
    75,614.74x = 5,662,590,011.25
  5. Step 5: Solve for x
    x = 5,662,590,011.25/75,614.74
  6. Step 6: Final answer
    x = 74,887.38

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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.