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Finding the Fourth Proportional to 104,896.81, 157,410.83 and 42,567.31

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Solution

The fourth proportional to 104,896.81, 157,410.83 and 42,567.31 is: 63,877.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,896.81 : 157,410.83 = 42,567.31 : x
  2. Step 2: Convert to fraction form
    104,896.81/157,410.83 = 42,567.31/x
  3. Step 3: Cross multiply
    104,896.81x = 157,410.83 × 42,567.31
  4. Step 4: Simplify right side
    104,896.81x = 6,700,555,597.97
  5. Step 5: Solve for x
    x = 6,700,555,597.97/104,896.81
  6. Step 6: Final answer
    x = 63,877.59

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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.