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Finding the Fourth Proportional to 38,636.24, 53,308.92 and 28,007.42

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Solution

The fourth proportional to 38,636.24, 53,308.92 and 28,007.42 is: 38,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,636.24 : 53,308.92 = 28,007.42 : x
  2. Step 2: Convert to fraction form
    38,636.24/53,308.92 = 28,007.42/x
  3. Step 3: Cross multiply
    38,636.24x = 53,308.92 × 28,007.42
  4. Step 4: Simplify right side
    38,636.24x = 1,493,045,312.19
  5. Step 5: Solve for x
    x = 1,493,045,312.19/38,636.24
  6. Step 6: Final answer
    x = 38,643.65

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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.