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Finding the Fourth Proportional to 35,466.72, 53,198.16 and 10,842.72

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Solution

The fourth proportional to 35,466.72, 53,198.16 and 10,842.72 is: 16,263.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,466.72 : 53,198.16 = 10,842.72 : x
  2. Step 2: Convert to fraction form
    35,466.72/53,198.16 = 10,842.72/x
  3. Step 3: Cross multiply
    35,466.72x = 53,198.16 × 10,842.72
  4. Step 4: Simplify right side
    35,466.72x = 576,812,753.40
  5. Step 5: Solve for x
    x = 576,812,753.40/35,466.72
  6. Step 6: Final answer
    x = 16,263.49

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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.