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Finding the Fourth Proportional to 74,293.63, 102,524.87 and 40,302.14

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Solution

The fourth proportional to 74,293.63, 102,524.87 and 40,302.14 is: 55,616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,293.63 : 102,524.87 = 40,302.14 : x
  2. Step 2: Convert to fraction form
    74,293.63/102,524.87 = 40,302.14/x
  3. Step 3: Cross multiply
    74,293.63x = 102,524.87 × 40,302.14
  4. Step 4: Simplify right side
    74,293.63x = 4,131,971,252.35
  5. Step 5: Solve for x
    x = 4,131,971,252.35/74,293.63
  6. Step 6: Final answer
    x = 55,616.77

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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.