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Finding the Fourth Proportional to 34,044.21, 47,014.69 and 28,053.80

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Solution

The fourth proportional to 34,044.21, 47,014.69 and 28,053.80 is: 38,742.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,044.21 : 47,014.69 = 28,053.80 : x
  2. Step 2: Convert to fraction form
    34,044.21/47,014.69 = 28,053.80/x
  3. Step 3: Cross multiply
    34,044.21x = 47,014.69 × 28,053.80
  4. Step 4: Simplify right side
    34,044.21x = 1,318,940,522.65
  5. Step 5: Solve for x
    x = 1,318,940,522.65/34,044.21
  6. Step 6: Final answer
    x = 38,742.00

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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.