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Finding the Fourth Proportional to 89,872.32, 134,825.76 and 34,464

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Solution

The fourth proportional to 89,872.32, 134,825.76 and 34,464 is: 51,702.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,872.32 : 134,825.76 = 34,464 : x
  2. Step 2: Convert to fraction form
    89,872.32/134,825.76 = 34,464/x
  3. Step 3: Cross multiply
    89,872.32x = 134,825.76 × 34,464
  4. Step 4: Simplify right side
    89,872.32x = 4,646,634,992.64
  5. Step 5: Solve for x
    x = 4,646,634,992.64/89,872.32
  6. Step 6: Final answer
    x = 51,702.63

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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.