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Finding the Fourth Proportional to 55,589.52, 76,727.04 and 34,356

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Solution

The fourth proportional to 55,589.52, 76,727.04 and 34,356 is: 47,419.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,589.52 : 76,727.04 = 34,356 : x
  2. Step 2: Convert to fraction form
    55,589.52/76,727.04 = 34,356/x
  3. Step 3: Cross multiply
    55,589.52x = 76,727.04 × 34,356
  4. Step 4: Simplify right side
    55,589.52x = 2,636,034,186.24
  5. Step 5: Solve for x
    x = 2,636,034,186.24/55,589.52
  6. Step 6: Final answer
    x = 47,419.62

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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.