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Finding the Fourth Proportional to 85,671, 128,515.08 and 29,503.80

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Solution

The fourth proportional to 85,671, 128,515.08 and 29,503.80 is: 44,258.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,671 : 128,515.08 = 29,503.80 : x
  2. Step 2: Convert to fraction form
    85,671/128,515.08 = 29,503.80/x
  3. Step 3: Cross multiply
    85,671x = 128,515.08 × 29,503.80
  4. Step 4: Simplify right side
    85,671x = 3,791,683,217.30
  5. Step 5: Solve for x
    x = 3,791,683,217.30/85,671
  6. Step 6: Final answer
    x = 44,258.65

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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.