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Finding the Fourth Proportional to 77,193.25, 106,526.69 and 41,865.25

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Solution

The fourth proportional to 77,193.25, 106,526.69 and 41,865.25 is: 57,774.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,193.25 : 106,526.69 = 41,865.25 : x
  2. Step 2: Convert to fraction form
    77,193.25/106,526.69 = 41,865.25/x
  3. Step 3: Cross multiply
    77,193.25x = 106,526.69 × 41,865.25
  4. Step 4: Simplify right side
    77,193.25x = 4,459,766,508.52
  5. Step 5: Solve for x
    x = 4,459,766,508.52/77,193.25
  6. Step 6: Final answer
    x = 57,774.05

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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.