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Finding the Fourth Proportional to 29,953.60, 41,322.78 and 18,010

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Solution

The fourth proportional to 29,953.60, 41,322.78 and 18,010 is: 24,845.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,953.60 : 41,322.78 = 18,010 : x
  2. Step 2: Convert to fraction form
    29,953.60/41,322.78 = 18,010/x
  3. Step 3: Cross multiply
    29,953.60x = 41,322.78 × 18,010
  4. Step 4: Simplify right side
    29,953.60x = 744,223,267.80
  5. Step 5: Solve for x
    x = 744,223,267.80/29,953.60
  6. Step 6: Final answer
    x = 24,845.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.