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Finding the Fourth Proportional to 75,360, 104,001.66 and 41,826

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Solution

The fourth proportional to 75,360, 104,001.66 and 41,826 is: 57,722.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,360 : 104,001.66 = 41,826 : x
  2. Step 2: Convert to fraction form
    75,360/104,001.66 = 41,826/x
  3. Step 3: Cross multiply
    75,360x = 104,001.66 × 41,826
  4. Step 4: Simplify right side
    75,360x = 4,349,973,431.16
  5. Step 5: Solve for x
    x = 4,349,973,431.16/75,360
  6. Step 6: Final answer
    x = 57,722.58

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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.