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Finding the Fourth Proportional to 53,532.88, 73,872.54 and 29,659

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Solution

The fourth proportional to 53,532.88, 73,872.54 and 29,659 is: 40,927.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,532.88 : 73,872.54 = 29,659 : x
  2. Step 2: Convert to fraction form
    53,532.88/73,872.54 = 29,659/x
  3. Step 3: Cross multiply
    53,532.88x = 73,872.54 × 29,659
  4. Step 4: Simplify right side
    53,532.88x = 2,190,985,663.86
  5. Step 5: Solve for x
    x = 2,190,985,663.86/53,532.88
  6. Step 6: Final answer
    x = 40,927.85

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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.