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Finding the Fourth Proportional to 43,125.75, 64,688.63 and 11,961

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Solution

The fourth proportional to 43,125.75, 64,688.63 and 11,961 is: 17,941.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,125.75 : 64,688.63 = 11,961 : x
  2. Step 2: Convert to fraction form
    43,125.75/64,688.63 = 11,961/x
  3. Step 3: Cross multiply
    43,125.75x = 64,688.63 × 11,961
  4. Step 4: Simplify right side
    43,125.75x = 773,740,643.63
  5. Step 5: Solve for x
    x = 773,740,643.63/43,125.75
  6. Step 6: Final answer
    x = 17,941.50

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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.