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Finding the Fourth Proportional to 82,146.69, 113,362.46 and 44,420.94

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Solution

The fourth proportional to 82,146.69, 113,362.46 and 44,420.94 is: 61,300.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,146.69 : 113,362.46 = 44,420.94 : x
  2. Step 2: Convert to fraction form
    82,146.69/113,362.46 = 44,420.94/x
  3. Step 3: Cross multiply
    82,146.69x = 113,362.46 × 44,420.94
  4. Step 4: Simplify right side
    82,146.69x = 5,035,666,811.81
  5. Step 5: Solve for x
    x = 5,035,666,811.81/82,146.69
  6. Step 6: Final answer
    x = 61,300.91

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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.