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Finding the Fourth Proportional to 38,483.64, 53,106.91 and 21,488.17

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Solution

The fourth proportional to 38,483.64, 53,106.91 and 21,488.17 is: 29,653.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,483.64 : 53,106.91 = 21,488.17 : x
  2. Step 2: Convert to fraction form
    38,483.64/53,106.91 = 21,488.17/x
  3. Step 3: Cross multiply
    38,483.64x = 53,106.91 × 21,488.17
  4. Step 4: Simplify right side
    38,483.64x = 1,141,170,310.25
  5. Step 5: Solve for x
    x = 1,141,170,310.25/38,483.64
  6. Step 6: Final answer
    x = 29,653.39

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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.