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Finding the Fourth Proportional to 71,725.78, 107,637.63 and 24,978.64

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Solution

The fourth proportional to 71,725.78, 107,637.63 and 24,978.64 is: 37,485.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,725.78 : 107,637.63 = 24,978.64 : x
  2. Step 2: Convert to fraction form
    71,725.78/107,637.63 = 24,978.64/x
  3. Step 3: Cross multiply
    71,725.78x = 107,637.63 × 24,978.64
  4. Step 4: Simplify right side
    71,725.78x = 2,688,641,610.22
  5. Step 5: Solve for x
    x = 2,688,641,610.22/71,725.78
  6. Step 6: Final answer
    x = 37,485.01

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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.