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Finding the Fourth Proportional to 89,844, 134,772.48 and 34,440

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Solution

The fourth proportional to 89,844, 134,772.48 and 34,440 is: 51,662.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,844 : 134,772.48 = 34,440 : x
  2. Step 2: Convert to fraction form
    89,844/134,772.48 = 34,440/x
  3. Step 3: Cross multiply
    89,844x = 134,772.48 × 34,440
  4. Step 4: Simplify right side
    89,844x = 4,641,564,211.20
  5. Step 5: Solve for x
    x = 4,641,564,211.20/89,844
  6. Step 6: Final answer
    x = 51,662.48

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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.