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Finding the Fourth Proportional to 60,977.56, 84,048.38 and 40,827.32

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Solution

The fourth proportional to 60,977.56, 84,048.38 and 40,827.32 is: 56,274.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,977.56 : 84,048.38 = 40,827.32 : x
  2. Step 2: Convert to fraction form
    60,977.56/84,048.38 = 40,827.32/x
  3. Step 3: Cross multiply
    60,977.56x = 84,048.38 × 40,827.32
  4. Step 4: Simplify right side
    60,977.56x = 3,431,470,105.74
  5. Step 5: Solve for x
    x = 3,431,470,105.74/60,977.56
  6. Step 6: Final answer
    x = 56,274.31

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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.