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Finding the Fourth Proportional to 34,080, 51,121.92 and 9,457.92

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Solution

The fourth proportional to 34,080, 51,121.92 and 9,457.92 is: 14,187.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,080 : 51,121.92 = 9,457.92 : x
  2. Step 2: Convert to fraction form
    34,080/51,121.92 = 9,457.92/x
  3. Step 3: Cross multiply
    34,080x = 51,121.92 × 9,457.92
  4. Step 4: Simplify right side
    34,080x = 483,507,029.61
  5. Step 5: Solve for x
    x = 483,507,029.61/34,080
  6. Step 6: Final answer
    x = 14,187.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.