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Finding the Fourth Proportional to 82,652.73, 114,052.81 and 46,355.67

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Solution

The fourth proportional to 82,652.73, 114,052.81 and 46,355.67 is: 63,966.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,652.73 : 114,052.81 = 46,355.67 : x
  2. Step 2: Convert to fraction form
    82,652.73/114,052.81 = 46,355.67/x
  3. Step 3: Cross multiply
    82,652.73x = 114,052.81 × 46,355.67
  4. Step 4: Simplify right side
    82,652.73x = 5,286,994,422.93
  5. Step 5: Solve for x
    x = 5,286,994,422.93/82,652.73
  6. Step 6: Final answer
    x = 63,966.36

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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.