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Finding the Fourth Proportional to 84,913, 127,388.94 and 29,509

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Solution

The fourth proportional to 84,913, 127,388.94 and 29,509 is: 44,270.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,913 : 127,388.94 = 29,509 : x
  2. Step 2: Convert to fraction form
    84,913/127,388.94 = 29,509/x
  3. Step 3: Cross multiply
    84,913x = 127,388.94 × 29,509
  4. Step 4: Simplify right side
    84,913x = 3,759,120,230.46
  5. Step 5: Solve for x
    x = 3,759,120,230.46/84,913
  6. Step 6: Final answer
    x = 44,270.26

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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.