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Finding the Fourth Proportional to 76,396.68, 105,426.38 and 42,405.08

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Solution

The fourth proportional to 76,396.68, 105,426.38 and 42,405.08 is: 58,518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,396.68 : 105,426.38 = 42,405.08 : x
  2. Step 2: Convert to fraction form
    76,396.68/105,426.38 = 42,405.08/x
  3. Step 3: Cross multiply
    76,396.68x = 105,426.38 × 42,405.08
  4. Step 4: Simplify right side
    76,396.68x = 4,470,613,338.85
  5. Step 5: Solve for x
    x = 4,470,613,338.85/76,396.68
  6. Step 6: Final answer
    x = 58,518.42

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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.