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Finding the Fourth Proportional to 75,213, 103,794.66 and 41,679.72

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Solution

The fourth proportional to 75,213, 103,794.66 and 41,679.72 is: 57,518.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,213 : 103,794.66 = 41,679.72 : x
  2. Step 2: Convert to fraction form
    75,213/103,794.66 = 41,679.72/x
  3. Step 3: Cross multiply
    75,213x = 103,794.66 × 41,679.72
  4. Step 4: Simplify right side
    75,213x = 4,326,132,366.30
  5. Step 5: Solve for x
    x = 4,326,132,366.30/75,213
  6. Step 6: Final answer
    x = 57,518.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.