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Finding the Fourth Proportional to 34,000.30, 51,000.45 and 30,429.10

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Solution

The fourth proportional to 34,000.30, 51,000.45 and 30,429.10 is: 45,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,000.30 : 51,000.45 = 30,429.10 : x
  2. Step 2: Convert to fraction form
    34,000.30/51,000.45 = 30,429.10/x
  3. Step 3: Cross multiply
    34,000.30x = 51,000.45 × 30,429.10
  4. Step 4: Simplify right side
    34,000.30x = 1,551,897,793.10
  5. Step 5: Solve for x
    x = 1,551,897,793.10/34,000.30
  6. Step 6: Final answer
    x = 45,643.65

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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.