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Finding the Fourth Proportional to 85,647.84, 128,438.40 and 29,477.28

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Solution

The fourth proportional to 85,647.84, 128,438.40 and 29,477.28 is: 44,204.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,647.84 : 128,438.40 = 29,477.28 : x
  2. Step 2: Convert to fraction form
    85,647.84/128,438.40 = 29,477.28/x
  3. Step 3: Cross multiply
    85,647.84x = 128,438.40 × 29,477.28
  4. Step 4: Simplify right side
    85,647.84x = 3,786,014,679.55
  5. Step 5: Solve for x
    x = 3,786,014,679.55/85,647.84
  6. Step 6: Final answer
    x = 44,204.44

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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.