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Finding the Fourth Proportional to 34,034.40, 51,008.40 and 16,466.40

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Solution

The fourth proportional to 34,034.40, 51,008.40 and 16,466.40 is: 24,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,034.40 : 51,008.40 = 16,466.40 : x
  2. Step 2: Convert to fraction form
    34,034.40/51,008.40 = 16,466.40/x
  3. Step 3: Cross multiply
    34,034.40x = 51,008.40 × 16,466.40
  4. Step 4: Simplify right side
    34,034.40x = 839,924,717.76
  5. Step 5: Solve for x
    x = 839,924,717.76/34,034.40
  6. Step 6: Final answer
    x = 24,678.70

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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.