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Finding the Fourth Proportional to 84,438.56, 116,520.72 and 46,712

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Solution

The fourth proportional to 84,438.56, 116,520.72 and 46,712 is: 64,460.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,438.56 : 116,520.72 = 46,712 : x
  2. Step 2: Convert to fraction form
    84,438.56/116,520.72 = 46,712/x
  3. Step 3: Cross multiply
    84,438.56x = 116,520.72 × 46,712
  4. Step 4: Simplify right side
    84,438.56x = 5,442,915,872.64
  5. Step 5: Solve for x
    x = 5,442,915,872.64/84,438.56
  6. Step 6: Final answer
    x = 64,460.07

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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.