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Finding the Fourth Proportional to 75,774.72, 104,569.74 and 41,784.42

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Solution

The fourth proportional to 75,774.72, 104,569.74 and 41,784.42 is: 57,662.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,774.72 : 104,569.74 = 41,784.42 : x
  2. Step 2: Convert to fraction form
    75,774.72/104,569.74 = 41,784.42/x
  3. Step 3: Cross multiply
    75,774.72x = 104,569.74 × 41,784.42
  4. Step 4: Simplify right side
    75,774.72x = 4,369,385,935.45
  5. Step 5: Solve for x
    x = 4,369,385,935.45/75,774.72
  6. Step 6: Final answer
    x = 57,662.85

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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.