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Finding the Fourth Proportional to 74,200.35, 102,431.95 and 42,363.10

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Solution

The fourth proportional to 74,200.35, 102,431.95 and 42,363.10 is: 58,481.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,200.35 : 102,431.95 = 42,363.10 : x
  2. Step 2: Convert to fraction form
    74,200.35/102,431.95 = 42,363.10/x
  3. Step 3: Cross multiply
    74,200.35x = 102,431.95 × 42,363.10
  4. Step 4: Simplify right side
    74,200.35x = 4,339,334,579.06
  5. Step 5: Solve for x
    x = 4,339,334,579.06/74,200.35
  6. Step 6: Final answer
    x = 58,481.32

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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.