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Finding the Fourth Proportional to 76,406, 105,443.52 and 42,872

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Solution

The fourth proportional to 76,406, 105,443.52 and 42,872 is: 59,165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,406 : 105,443.52 = 42,872 : x
  2. Step 2: Convert to fraction form
    76,406/105,443.52 = 42,872/x
  3. Step 3: Cross multiply
    76,406x = 105,443.52 × 42,872
  4. Step 4: Simplify right side
    76,406x = 4,520,574,589.44
  5. Step 5: Solve for x
    x = 4,520,574,589.44/76,406
  6. Step 6: Final answer
    x = 59,165.18

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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.