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Finding the Fourth Proportional to 80,946, 111,775.96 and 50,783.16

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Solution

The fourth proportional to 80,946, 111,775.96 and 50,783.16 is: 70,124.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,946 : 111,775.96 = 50,783.16 : x
  2. Step 2: Convert to fraction form
    80,946/111,775.96 = 50,783.16/x
  3. Step 3: Cross multiply
    80,946x = 111,775.96 × 50,783.16
  4. Step 4: Simplify right side
    80,946x = 5,676,336,460.83
  5. Step 5: Solve for x
    x = 5,676,336,460.83/80,946
  6. Step 6: Final answer
    x = 70,124.98

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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.