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Finding the Fourth Proportional to 76,206.41, 113,846.10 and 49,333.47

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Solution

The fourth proportional to 76,206.41, 113,846.10 and 49,333.47 is: 73,700.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,206.41 : 113,846.10 = 49,333.47 : x
  2. Step 2: Convert to fraction form
    76,206.41/113,846.10 = 49,333.47/x
  3. Step 3: Cross multiply
    76,206.41x = 113,846.10 × 49,333.47
  4. Step 4: Simplify right side
    76,206.41x = 5,616,423,158.97
  5. Step 5: Solve for x
    x = 5,616,423,158.97/76,206.41
  6. Step 6: Final answer
    x = 73,700.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.