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Finding the Fourth Proportional to 76,187.82, 105,156.68 and 50,695.24

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Solution

The fourth proportional to 76,187.82, 105,156.68 and 50,695.24 is: 69,971.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,187.82 : 105,156.68 = 50,695.24 : x
  2. Step 2: Convert to fraction form
    76,187.82/105,156.68 = 50,695.24/x
  3. Step 3: Cross multiply
    76,187.82x = 105,156.68 × 50,695.24
  4. Step 4: Simplify right side
    76,187.82x = 5,330,943,130.20
  5. Step 5: Solve for x
    x = 5,330,943,130.20/76,187.82
  6. Step 6: Final answer
    x = 69,971.07

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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.