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Finding the Fourth Proportional to 55,562.88, 76,678.62 and 30,412.38

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Solution

The fourth proportional to 55,562.88, 76,678.62 and 30,412.38 is: 41,970.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,562.88 : 76,678.62 = 30,412.38 : x
  2. Step 2: Convert to fraction form
    55,562.88/76,678.62 = 30,412.38/x
  3. Step 3: Cross multiply
    55,562.88x = 76,678.62 × 30,412.38
  4. Step 4: Simplify right side
    55,562.88x = 2,331,979,329.32
  5. Step 5: Solve for x
    x = 2,331,979,329.32/55,562.88
  6. Step 6: Final answer
    x = 41,970.09

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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.