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Finding the Fourth Proportional to 105,425.67, 158,037 and 38,829.48

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Solution

The fourth proportional to 105,425.67, 158,037 and 38,829.48 is: 58,206.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,425.67 : 158,037 = 38,829.48 : x
  2. Step 2: Convert to fraction form
    105,425.67/158,037 = 38,829.48/x
  3. Step 3: Cross multiply
    105,425.67x = 158,037 × 38,829.48
  4. Step 4: Simplify right side
    105,425.67x = 6,136,494,530.76
  5. Step 5: Solve for x
    x = 6,136,494,530.76/105,425.67
  6. Step 6: Final answer
    x = 58,206.83

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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.