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Finding the Fourth Proportional to 74,664.12, 103,038.84 and 42,843

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Solution

The fourth proportional to 74,664.12, 103,038.84 and 42,843 is: 59,124.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,664.12 : 103,038.84 = 42,843 : x
  2. Step 2: Convert to fraction form
    74,664.12/103,038.84 = 42,843/x
  3. Step 3: Cross multiply
    74,664.12x = 103,038.84 × 42,843
  4. Step 4: Simplify right side
    74,664.12x = 4,414,493,022.12
  5. Step 5: Solve for x
    x = 4,414,493,022.12/74,664.12
  6. Step 6: Final answer
    x = 59,124.69

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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.