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Finding the Fourth Proportional to 71,984.08, 99,294.48 and 46,450.48

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Solution

The fourth proportional to 71,984.08, 99,294.48 and 46,450.48 is: 64,073.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,984.08 : 99,294.48 = 46,450.48 : x
  2. Step 2: Convert to fraction form
    71,984.08/99,294.48 = 46,450.48/x
  3. Step 3: Cross multiply
    71,984.08x = 99,294.48 × 46,450.48
  4. Step 4: Simplify right side
    71,984.08x = 4,612,276,257.35
  5. Step 5: Solve for x
    x = 4,612,276,257.35/71,984.08
  6. Step 6: Final answer
    x = 64,073.56

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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.