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Finding the Fourth Proportional to 34,980, 52,457.64 and 11,286.60

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Solution

The fourth proportional to 34,980, 52,457.64 and 11,286.60 is: 16,925.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,980 : 52,457.64 = 11,286.60 : x
  2. Step 2: Convert to fraction form
    34,980/52,457.64 = 11,286.60/x
  3. Step 3: Cross multiply
    34,980x = 52,457.64 × 11,286.60
  4. Step 4: Simplify right side
    34,980x = 592,068,399.62
  5. Step 5: Solve for x
    x = 592,068,399.62/34,980
  6. Step 6: Final answer
    x = 16,925.91

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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.