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Finding the Fourth Proportional to 51,210.75, 70,670.84 and 27,658.75

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Solution

The fourth proportional to 51,210.75, 70,670.84 and 27,658.75 is: 38,169.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,210.75 : 70,670.84 = 27,658.75 : x
  2. Step 2: Convert to fraction form
    51,210.75/70,670.84 = 27,658.75/x
  3. Step 3: Cross multiply
    51,210.75x = 70,670.84 × 27,658.75
  4. Step 4: Simplify right side
    51,210.75x = 1,954,666,957.56
  5. Step 5: Solve for x
    x = 1,954,666,957.56/51,210.75
  6. Step 6: Final answer
    x = 38,169.08

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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.