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Finding the Fourth Proportional to 34,980.40, 52,457.04 and 11,600.56

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Solution

The fourth proportional to 34,980.40, 52,457.04 and 11,600.56 is: 17,396.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,980.40 : 52,457.04 = 11,600.56 : x
  2. Step 2: Convert to fraction form
    34,980.40/52,457.04 = 11,600.56/x
  3. Step 3: Cross multiply
    34,980.40x = 52,457.04 × 11,600.56
  4. Step 4: Simplify right side
    34,980.40x = 608,531,039.94
  5. Step 5: Solve for x
    x = 608,531,039.94/34,980.40
  6. Step 6: Final answer
    x = 17,396.34

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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.