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Finding the Fourth Proportional to 105,825.74, 158,698.58 and 42,624.41

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Solution

The fourth proportional to 105,825.74, 158,698.58 and 42,624.41 is: 63,920.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,825.74 : 158,698.58 = 42,624.41 : x
  2. Step 2: Convert to fraction form
    105,825.74/158,698.58 = 42,624.41/x
  3. Step 3: Cross multiply
    105,825.74x = 158,698.58 × 42,624.41
  4. Step 4: Simplify right side
    105,825.74x = 6,764,432,333.72
  5. Step 5: Solve for x
    x = 6,764,432,333.72/105,825.74
  6. Step 6: Final answer
    x = 63,920.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.