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Finding the Fourth Proportional to 34,134.38, 51,210.20 and 9,510.38

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Solution

The fourth proportional to 34,134.38, 51,210.20 and 9,510.38 is: 14,267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,134.38 : 51,210.20 = 9,510.38 : x
  2. Step 2: Convert to fraction form
    34,134.38/51,210.20 = 9,510.38/x
  3. Step 3: Cross multiply
    34,134.38x = 51,210.20 × 9,510.38
  4. Step 4: Simplify right side
    34,134.38x = 487,028,461.88
  5. Step 5: Solve for x
    x = 487,028,461.88/34,134.38
  6. Step 6: Final answer
    x = 14,267.97

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