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Finding the Fourth Proportional to 55,747, 76,930.86 and 30,598.12

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Solution

The fourth proportional to 55,747, 76,930.86 and 30,598.12 is: 42,225.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,747 : 76,930.86 = 30,598.12 : x
  2. Step 2: Convert to fraction form
    55,747/76,930.86 = 30,598.12/x
  3. Step 3: Cross multiply
    55,747x = 76,930.86 × 30,598.12
  4. Step 4: Simplify right side
    55,747x = 2,353,939,685.98
  5. Step 5: Solve for x
    x = 2,353,939,685.98/55,747
  6. Step 6: Final answer
    x = 42,225.41

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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.