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Finding the Fourth Proportional to 55,678.20, 76,835.76 and 30,529.32

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Solution

The fourth proportional to 55,678.20, 76,835.76 and 30,529.32 is: 42,130.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,678.20 : 76,835.76 = 30,529.32 : x
  2. Step 2: Convert to fraction form
    55,678.20/76,835.76 = 30,529.32/x
  3. Step 3: Cross multiply
    55,678.20x = 76,835.76 × 30,529.32
  4. Step 4: Simplify right side
    55,678.20x = 2,345,743,504.48
  5. Step 5: Solve for x
    x = 2,345,743,504.48/55,678.20
  6. Step 6: Final answer
    x = 42,130.38

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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.