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Finding the Fourth Proportional to 79,958, 110,351.76 and 46,424

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Solution

The fourth proportional to 79,958, 110,351.76 and 46,424 is: 64,070.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,958 : 110,351.76 = 46,424 : x
  2. Step 2: Convert to fraction form
    79,958/110,351.76 = 46,424/x
  3. Step 3: Cross multiply
    79,958x = 110,351.76 × 46,424
  4. Step 4: Simplify right side
    79,958x = 5,122,970,106.24
  5. Step 5: Solve for x
    x = 5,122,970,106.24/79,958
  6. Step 6: Final answer
    x = 64,070.76

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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.