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Finding the Fourth Proportional to 82,933.56, 114,448.32 and 45,207.84

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Solution

The fourth proportional to 82,933.56, 114,448.32 and 45,207.84 is: 62,386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,933.56 : 114,448.32 = 45,207.84 : x
  2. Step 2: Convert to fraction form
    82,933.56/114,448.32 = 45,207.84/x
  3. Step 3: Cross multiply
    82,933.56x = 114,448.32 × 45,207.84
  4. Step 4: Simplify right side
    82,933.56x = 5,173,961,338.83
  5. Step 5: Solve for x
    x = 5,173,961,338.83/82,933.56
  6. Step 6: Final answer
    x = 62,386.82

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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.