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Finding the Fourth Proportional to 75,645.42, 104,389.80 and 41,653.20

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Solution

The fourth proportional to 75,645.42, 104,389.80 and 41,653.20 is: 57,480.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,645.42 : 104,389.80 = 41,653.20 : x
  2. Step 2: Convert to fraction form
    75,645.42/104,389.80 = 41,653.20/x
  3. Step 3: Cross multiply
    75,645.42x = 104,389.80 × 41,653.20
  4. Step 4: Simplify right side
    75,645.42x = 4,348,169,217.36
  5. Step 5: Solve for x
    x = 4,348,169,217.36/75,645.42
  6. Step 6: Final answer
    x = 57,480.93

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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.