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Finding the Fourth Proportional to 50,992.94, 70,359.44 and 29,762.64

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Solution

The fourth proportional to 50,992.94, 70,359.44 and 29,762.64 is: 41,066.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,992.94 : 70,359.44 = 29,762.64 : x
  2. Step 2: Convert to fraction form
    50,992.94/70,359.44 = 29,762.64/x
  3. Step 3: Cross multiply
    50,992.94x = 70,359.44 × 29,762.64
  4. Step 4: Simplify right side
    50,992.94x = 2,094,082,534.51
  5. Step 5: Solve for x
    x = 2,094,082,534.51/50,992.94
  6. Step 6: Final answer
    x = 41,066.12

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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.