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Finding the Fourth Proportional to 51,252, 70,727.76 and 27,700

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Solution

The fourth proportional to 51,252, 70,727.76 and 27,700 is: 38,226.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,252 : 70,727.76 = 27,700 : x
  2. Step 2: Convert to fraction form
    51,252/70,727.76 = 27,700/x
  3. Step 3: Cross multiply
    51,252x = 70,727.76 × 27,700
  4. Step 4: Simplify right side
    51,252x = 1,959,158,952.00
  5. Step 5: Solve for x
    x = 1,959,158,952.00/51,252
  6. Step 6: Final answer
    x = 38,226.00

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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.