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Finding the Fourth Proportional to 74,741.84, 103,143.84 and 41,207.84

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Solution

The fourth proportional to 74,741.84, 103,143.84 and 41,207.84 is: 56,866.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,741.84 : 103,143.84 = 41,207.84 : x
  2. Step 2: Convert to fraction form
    74,741.84/103,143.84 = 41,207.84/x
  3. Step 3: Cross multiply
    74,741.84x = 103,143.84 × 41,207.84
  4. Step 4: Simplify right side
    74,741.84x = 4,250,334,855.71
  5. Step 5: Solve for x
    x = 4,250,334,855.71/74,741.84
  6. Step 6: Final answer
    x = 56,866.87

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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.