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Finding the Fourth Proportional to 76,460.37, 105,515.31 and 42,926.37

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Solution

The fourth proportional to 76,460.37, 105,515.31 and 42,926.37 is: 59,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,460.37 : 105,515.31 = 42,926.37 : x
  2. Step 2: Convert to fraction form
    76,460.37/105,515.31 = 42,926.37/x
  3. Step 3: Cross multiply
    76,460.37x = 105,515.31 × 42,926.37
  4. Step 4: Simplify right side
    76,460.37x = 4,529,388,495.52
  5. Step 5: Solve for x
    x = 4,529,388,495.52/76,460.37
  6. Step 6: Final answer
    x = 59,238.38

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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.