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Finding the Fourth Proportional to 82,362.81, 113,681.03 and 54,106.77

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Solution

The fourth proportional to 82,362.81, 113,681.03 and 54,106.77 is: 74,680.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,362.81 : 113,681.03 = 54,106.77 : x
  2. Step 2: Convert to fraction form
    82,362.81/113,681.03 = 54,106.77/x
  3. Step 3: Cross multiply
    82,362.81x = 113,681.03 × 54,106.77
  4. Step 4: Simplify right side
    82,362.81x = 6,150,913,073.04
  5. Step 5: Solve for x
    x = 6,150,913,073.04/82,362.81
  6. Step 6: Final answer
    x = 74,680.71

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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.