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Finding the Fourth Proportional to 85,076, 127,672.44 and 29,672

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Solution

The fourth proportional to 85,076, 127,672.44 and 29,672 is: 44,528.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,076 : 127,672.44 = 29,672 : x
  2. Step 2: Convert to fraction form
    85,076/127,672.44 = 29,672/x
  3. Step 3: Cross multiply
    85,076x = 127,672.44 × 29,672
  4. Step 4: Simplify right side
    85,076x = 3,788,296,639.68
  5. Step 5: Solve for x
    x = 3,788,296,639.68/85,076
  6. Step 6: Final answer
    x = 44,528.38

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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.