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Finding the Fourth Proportional to 55,986.34, 77,257.60 and 30,835.84

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Solution

The fourth proportional to 55,986.34, 77,257.60 and 30,835.84 is: 42,551.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,986.34 : 77,257.60 = 30,835.84 : x
  2. Step 2: Convert to fraction form
    55,986.34/77,257.60 = 30,835.84/x
  3. Step 3: Cross multiply
    55,986.34x = 77,257.60 × 30,835.84
  4. Step 4: Simplify right side
    55,986.34x = 2,382,302,992.38
  5. Step 5: Solve for x
    x = 2,382,302,992.38/55,986.34
  6. Step 6: Final answer
    x = 42,551.50

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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.