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Finding the Fourth Proportional to 74,583, 102,926.16 and 41,049

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Solution

The fourth proportional to 74,583, 102,926.16 and 41,049 is: 56,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,583 : 102,926.16 = 41,049 : x
  2. Step 2: Convert to fraction form
    74,583/102,926.16 = 41,049/x
  3. Step 3: Cross multiply
    74,583x = 102,926.16 × 41,049
  4. Step 4: Simplify right side
    74,583x = 4,225,015,941.84
  5. Step 5: Solve for x
    x = 4,225,015,941.84/74,583
  6. Step 6: Final answer
    x = 56,648.51

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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.