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Finding the Fourth Proportional to 38,702.23, 53,409.65 and 22,569.09

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Solution

The fourth proportional to 38,702.23, 53,409.65 and 22,569.09 is: 31,145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,702.23 : 53,409.65 = 22,569.09 : x
  2. Step 2: Convert to fraction form
    38,702.23/53,409.65 = 22,569.09/x
  3. Step 3: Cross multiply
    38,702.23x = 53,409.65 × 22,569.09
  4. Step 4: Simplify right side
    38,702.23x = 1,205,407,197.72
  5. Step 5: Solve for x
    x = 1,205,407,197.72/38,702.23
  6. Step 6: Final answer
    x = 31,145.68

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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.