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Finding the Fourth Proportional to 52,960.86, 73,085.76 and 29,088

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Solution

The fourth proportional to 52,960.86, 73,085.76 and 29,088 is: 40,141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,960.86 : 73,085.76 = 29,088 : x
  2. Step 2: Convert to fraction form
    52,960.86/73,085.76 = 29,088/x
  3. Step 3: Cross multiply
    52,960.86x = 73,085.76 × 29,088
  4. Step 4: Simplify right side
    52,960.86x = 2,125,918,586.88
  5. Step 5: Solve for x
    x = 2,125,918,586.88/52,960.86
  6. Step 6: Final answer
    x = 40,141.32

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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.