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Finding the Fourth Proportional to 74,195.79, 102,390.24 and 40,204.61

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Solution

The fourth proportional to 74,195.79, 102,390.24 and 40,204.61 is: 55,482.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,195.79 : 102,390.24 = 40,204.61 : x
  2. Step 2: Convert to fraction form
    74,195.79/102,390.24 = 40,204.61/x
  3. Step 3: Cross multiply
    74,195.79x = 102,390.24 × 40,204.61
  4. Step 4: Simplify right side
    74,195.79x = 4,116,559,667.01
  5. Step 5: Solve for x
    x = 4,116,559,667.01/74,195.79
  6. Step 6: Final answer
    x = 55,482.39

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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.