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Finding the Fourth Proportional to 42,675.68, 63,889.56 and 24,852

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Solution

The fourth proportional to 42,675.68, 63,889.56 and 24,852 is: 37,205.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,675.68 : 63,889.56 = 24,852 : x
  2. Step 2: Convert to fraction form
    42,675.68/63,889.56 = 24,852/x
  3. Step 3: Cross multiply
    42,675.68x = 63,889.56 × 24,852
  4. Step 4: Simplify right side
    42,675.68x = 1,587,783,345.12
  5. Step 5: Solve for x
    x = 1,587,783,345.12/42,675.68
  6. Step 6: Final answer
    x = 37,205.81

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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.