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Finding the Fourth Proportional to 56,142.96, 77,477.10 and 30,992.28

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Solution

The fourth proportional to 56,142.96, 77,477.10 and 30,992.28 is: 42,769.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,142.96 : 77,477.10 = 30,992.28 : x
  2. Step 2: Convert to fraction form
    56,142.96/77,477.10 = 30,992.28/x
  3. Step 3: Cross multiply
    56,142.96x = 77,477.10 × 30,992.28
  4. Step 4: Simplify right side
    56,142.96x = 2,401,191,976.79
  5. Step 5: Solve for x
    x = 2,401,191,976.79/56,142.96
  6. Step 6: Final answer
    x = 42,769.24

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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.