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Finding the Fourth Proportional to 55,780, 76,976.94 and 30,630.04

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Solution

The fourth proportional to 55,780, 76,976.94 and 30,630.04 is: 42,269.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,780 : 76,976.94 = 30,630.04 : x
  2. Step 2: Convert to fraction form
    55,780/76,976.94 = 30,630.04/x
  3. Step 3: Cross multiply
    55,780x = 76,976.94 × 30,630.04
  4. Step 4: Simplify right side
    55,780x = 2,357,806,751.28
  5. Step 5: Solve for x
    x = 2,357,806,751.28/55,780
  6. Step 6: Final answer
    x = 42,269.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.