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Finding the Fourth Proportional to 38,203.20, 52,718.40 and 21,435.84

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Solution

The fourth proportional to 38,203.20, 52,718.40 and 21,435.84 is: 29,580.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,203.20 : 52,718.40 = 21,435.84 : x
  2. Step 2: Convert to fraction form
    38,203.20/52,718.40 = 21,435.84/x
  3. Step 3: Cross multiply
    38,203.20x = 52,718.40 × 21,435.84
  4. Step 4: Simplify right side
    38,203.20x = 1,130,063,187.46
  5. Step 5: Solve for x
    x = 1,130,063,187.46/38,203.20
  6. Step 6: Final answer
    x = 29,580.33

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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.