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Finding the Fourth Proportional to 38,364, 52,944.48 and 21,598.08

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Solution

The fourth proportional to 38,364, 52,944.48 and 21,598.08 is: 29,806.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,364 : 52,944.48 = 21,598.08 : x
  2. Step 2: Convert to fraction form
    38,364/52,944.48 = 21,598.08/x
  3. Step 3: Cross multiply
    38,364x = 52,944.48 × 21,598.08
  4. Step 4: Simplify right side
    38,364x = 1,143,499,114.60
  5. Step 5: Solve for x
    x = 1,143,499,114.60/38,364
  6. Step 6: Final answer
    x = 29,806.57

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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.