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Finding the Fourth Proportional to 43,129, 64,693.50 and 11,964.25

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Solution

The fourth proportional to 43,129, 64,693.50 and 11,964.25 is: 17,946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,129 : 64,693.50 = 11,964.25 : x
  2. Step 2: Convert to fraction form
    43,129/64,693.50 = 11,964.25/x
  3. Step 3: Cross multiply
    43,129x = 64,693.50 × 11,964.25
  4. Step 4: Simplify right side
    43,129x = 774,009,207.38
  5. Step 5: Solve for x
    x = 774,009,207.38/43,129
  6. Step 6: Final answer
    x = 17,946.38

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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.