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Finding the Fourth Proportional to 75,673.58, 104,428.56 and 41,681.42

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Solution

The fourth proportional to 75,673.58, 104,428.56 and 41,681.42 is: 57,519.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,673.58 : 104,428.56 = 41,681.42 : x
  2. Step 2: Convert to fraction form
    75,673.58/104,428.56 = 41,681.42/x
  3. Step 3: Cross multiply
    75,673.58x = 104,428.56 × 41,681.42
  4. Step 4: Simplify right side
    75,673.58x = 4,352,730,669.36
  5. Step 5: Solve for x
    x = 4,352,730,669.36/75,673.58
  6. Step 6: Final answer
    x = 57,519.82

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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.