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Finding the Fourth Proportional to 85,433.94, 128,061.75 and 29,257.50

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Solution

The fourth proportional to 85,433.94, 128,061.75 and 29,257.50 is: 43,855.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,433.94 : 128,061.75 = 29,257.50 : x
  2. Step 2: Convert to fraction form
    85,433.94/128,061.75 = 29,257.50/x
  3. Step 3: Cross multiply
    85,433.94x = 128,061.75 × 29,257.50
  4. Step 4: Simplify right side
    85,433.94x = 3,746,766,650.63
  5. Step 5: Solve for x
    x = 3,746,766,650.63/85,433.94
  6. Step 6: Final answer
    x = 43,855.72

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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.