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Finding the Fourth Proportional to 74,206.43, 102,412.25 and 42,380.11

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Solution

The fourth proportional to 74,206.43, 102,412.25 and 42,380.11 is: 58,488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,206.43 : 102,412.25 = 42,380.11 : x
  2. Step 2: Convert to fraction form
    74,206.43/102,412.25 = 42,380.11/x
  3. Step 3: Cross multiply
    74,206.43x = 102,412.25 × 42,380.11
  4. Step 4: Simplify right side
    74,206.43x = 4,340,242,495.39
  5. Step 5: Solve for x
    x = 4,340,242,495.39/74,206.43
  6. Step 6: Final answer
    x = 58,488.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.