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Finding the Fourth Proportional to 85,772.34, 128,685 and 38,427.30

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Solution

The fourth proportional to 85,772.34, 128,685 and 38,427.30 is: 57,652.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,772.34 : 128,685 = 38,427.30 : x
  2. Step 2: Convert to fraction form
    85,772.34/128,685 = 38,427.30/x
  3. Step 3: Cross multiply
    85,772.34x = 128,685 × 38,427.30
  4. Step 4: Simplify right side
    85,772.34x = 4,945,017,100.50
  5. Step 5: Solve for x
    x = 4,945,017,100.50/85,772.34
  6. Step 6: Final answer
    x = 57,652.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.