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Finding the Fourth Proportional to 82,216.53, 113,458.14 and 46,406.25

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Solution

The fourth proportional to 82,216.53, 113,458.14 and 46,406.25 is: 64,040.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,216.53 : 113,458.14 = 46,406.25 : x
  2. Step 2: Convert to fraction form
    82,216.53/113,458.14 = 46,406.25/x
  3. Step 3: Cross multiply
    82,216.53x = 113,458.14 × 46,406.25
  4. Step 4: Simplify right side
    82,216.53x = 5,265,166,809.38
  5. Step 5: Solve for x
    x = 5,265,166,809.38/82,216.53
  6. Step 6: Final answer
    x = 64,040.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.