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Finding the Fourth Proportional to 34,152.94, 47,113.14 and 27,786.65

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Solution

The fourth proportional to 34,152.94, 47,113.14 and 27,786.65 is: 38,330.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,152.94 : 47,113.14 = 27,786.65 : x
  2. Step 2: Convert to fraction form
    34,152.94/47,113.14 = 27,786.65/x
  3. Step 3: Cross multiply
    34,152.94x = 47,113.14 × 27,786.65
  4. Step 4: Simplify right side
    34,152.94x = 1,309,116,200.22
  5. Step 5: Solve for x
    x = 1,309,116,200.22/34,152.94
  6. Step 6: Final answer
    x = 38,330.99

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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.