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Finding the Fourth Proportional to 35,571.29, 53,356.92 and 9,275.96

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Solution

The fourth proportional to 35,571.29, 53,356.92 and 9,275.96 is: 13,913.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,571.29 : 53,356.92 = 9,275.96 : x
  2. Step 2: Convert to fraction form
    35,571.29/53,356.92 = 9,275.96/x
  3. Step 3: Cross multiply
    35,571.29x = 53,356.92 × 9,275.96
  4. Step 4: Simplify right side
    35,571.29x = 494,936,388.86
  5. Step 5: Solve for x
    x = 494,936,388.86/35,571.29
  6. Step 6: Final answer
    x = 13,913.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.