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Finding the Fourth Proportional to 105,378.53, 145,424.50 and 57,634.94

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Solution

The fourth proportional to 105,378.53, 145,424.50 and 57,634.94 is: 79,537.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,378.53 : 145,424.50 = 57,634.94 : x
  2. Step 2: Convert to fraction form
    105,378.53/145,424.50 = 57,634.94/x
  3. Step 3: Cross multiply
    105,378.53x = 145,424.50 × 57,634.94
  4. Step 4: Simplify right side
    105,378.53x = 8,381,532,551.50
  5. Step 5: Solve for x
    x = 8,381,532,551.50/105,378.53
  6. Step 6: Final answer
    x = 79,537.39

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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.