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Finding the Fourth Proportional to 36,065.40, 54,098.10 and 21,281.40

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Solution

The fourth proportional to 36,065.40, 54,098.10 and 21,281.40 is: 31,922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,065.40 : 54,098.10 = 21,281.40 : x
  2. Step 2: Convert to fraction form
    36,065.40/54,098.10 = 21,281.40/x
  3. Step 3: Cross multiply
    36,065.40x = 54,098.10 × 21,281.40
  4. Step 4: Simplify right side
    36,065.40x = 1,151,283,305.34
  5. Step 5: Solve for x
    x = 1,151,283,305.34/36,065.40
  6. Step 6: Final answer
    x = 31,922.10

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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.