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Finding the Fourth Proportional to 55,663.50, 76,815.90 and 33,307.50

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Solution

The fourth proportional to 55,663.50, 76,815.90 and 33,307.50 is: 45,964.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,663.50 : 76,815.90 = 33,307.50 : x
  2. Step 2: Convert to fraction form
    55,663.50/76,815.90 = 33,307.50/x
  3. Step 3: Cross multiply
    55,663.50x = 76,815.90 × 33,307.50
  4. Step 4: Simplify right side
    55,663.50x = 2,558,545,589.25
  5. Step 5: Solve for x
    x = 2,558,545,589.25/55,663.50
  6. Step 6: Final answer
    x = 45,964.51

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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.