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Finding the Fourth Proportional to 43,165.76, 64,743.98 and 11,579

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Solution

The fourth proportional to 43,165.76, 64,743.98 and 11,579 is: 17,367.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,165.76 : 64,743.98 = 11,579 : x
  2. Step 2: Convert to fraction form
    43,165.76/64,743.98 = 11,579/x
  3. Step 3: Cross multiply
    43,165.76x = 64,743.98 × 11,579
  4. Step 4: Simplify right side
    43,165.76x = 749,670,544.42
  5. Step 5: Solve for x
    x = 749,670,544.42/43,165.76
  6. Step 6: Final answer
    x = 17,367.25

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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.