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Finding the Fourth Proportional to 38,590.07, 53,252.96 and 21,823.07

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Solution

The fourth proportional to 38,590.07, 53,252.96 and 21,823.07 is: 30,115.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,590.07 : 53,252.96 = 21,823.07 : x
  2. Step 2: Convert to fraction form
    38,590.07/53,252.96 = 21,823.07/x
  3. Step 3: Cross multiply
    38,590.07x = 53,252.96 × 21,823.07
  4. Step 4: Simplify right side
    38,590.07x = 1,162,142,698.41
  5. Step 5: Solve for x
    x = 1,162,142,698.41/38,590.07
  6. Step 6: Final answer
    x = 30,115.07

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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.