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Finding the Fourth Proportional to 74,118.19, 102,282.61 and 40,126.43

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Solution

The fourth proportional to 74,118.19, 102,282.61 and 40,126.43 is: 55,374.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,118.19 : 102,282.61 = 40,126.43 : x
  2. Step 2: Convert to fraction form
    74,118.19/102,282.61 = 40,126.43/x
  3. Step 3: Cross multiply
    74,118.19x = 102,282.61 × 40,126.43
  4. Step 4: Simplify right side
    74,118.19x = 4,104,235,990.38
  5. Step 5: Solve for x
    x = 4,104,235,990.38/74,118.19
  6. Step 6: Final answer
    x = 55,374.21

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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.