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Finding the Fourth Proportional to 53,007.72, 73,152 and 29,135

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Solution

The fourth proportional to 53,007.72, 73,152 and 29,135 is: 40,207.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,007.72 : 73,152 = 29,135 : x
  2. Step 2: Convert to fraction form
    53,007.72/73,152 = 29,135/x
  3. Step 3: Cross multiply
    53,007.72x = 73,152 × 29,135
  4. Step 4: Simplify right side
    53,007.72x = 2,131,283,520
  5. Step 5: Solve for x
    x = 2,131,283,520/53,007.72
  6. Step 6: Final answer
    x = 40,207.04

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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.