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Finding the Fourth Proportional to 76,090.24, 105,004.24 and 42,556.16

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Solution

The fourth proportional to 76,090.24, 105,004.24 and 42,556.16 is: 58,727.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,090.24 : 105,004.24 = 42,556.16 : x
  2. Step 2: Convert to fraction form
    76,090.24/105,004.24 = 42,556.16/x
  3. Step 3: Cross multiply
    76,090.24x = 105,004.24 × 42,556.16
  4. Step 4: Simplify right side
    76,090.24x = 4,468,577,238.12
  5. Step 5: Solve for x
    x = 4,468,577,238.12/76,090.24
  6. Step 6: Final answer
    x = 58,727.34

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