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Finding the Fourth Proportional to 38,201.63, 52,718.65 and 21,434.63

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Solution

The fourth proportional to 38,201.63, 52,718.65 and 21,434.63 is: 29,580.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,201.63 : 52,718.65 = 21,434.63 : x
  2. Step 2: Convert to fraction form
    38,201.63/52,718.65 = 21,434.63/x
  3. Step 3: Cross multiply
    38,201.63x = 52,718.65 × 21,434.63
  4. Step 4: Simplify right side
    38,201.63x = 1,130,004,439.67
  5. Step 5: Solve for x
    x = 1,130,004,439.67/38,201.63
  6. Step 6: Final answer
    x = 29,580.01

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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.