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Finding the Fourth Proportional to 76,057.32, 104,959.32 and 42,523.32

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Solution

The fourth proportional to 76,057.32, 104,959.32 and 42,523.32 is: 58,682.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,057.32 : 104,959.32 = 42,523.32 : x
  2. Step 2: Convert to fraction form
    76,057.32/104,959.32 = 42,523.32/x
  3. Step 3: Cross multiply
    76,057.32x = 104,959.32 × 42,523.32
  4. Step 4: Simplify right side
    76,057.32x = 4,463,218,751.34
  5. Step 5: Solve for x
    x = 4,463,218,751.34/76,057.32
  6. Step 6: Final answer
    x = 58,682.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.