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Finding the Fourth Proportional to 38,486.70, 53,106.33 and 21,488.96

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Solution

The fourth proportional to 38,486.70, 53,106.33 and 21,488.96 is: 29,651.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,486.70 : 53,106.33 = 21,488.96 : x
  2. Step 2: Convert to fraction form
    38,486.70/53,106.33 = 21,488.96/x
  3. Step 3: Cross multiply
    38,486.70x = 53,106.33 × 21,488.96
  4. Step 4: Simplify right side
    38,486.70x = 1,141,199,801.12
  5. Step 5: Solve for x
    x = 1,141,199,801.12/38,486.70
  6. Step 6: Final answer
    x = 29,651.80

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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.