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Finding the Fourth Proportional to 38,835, 53,590.10 and 22,915.80

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Solution

The fourth proportional to 38,835, 53,590.10 and 22,915.80 is: 31,622.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,835 : 53,590.10 = 22,915.80 : x
  2. Step 2: Convert to fraction form
    38,835/53,590.10 = 22,915.80/x
  3. Step 3: Cross multiply
    38,835x = 53,590.10 × 22,915.80
  4. Step 4: Simplify right side
    38,835x = 1,228,060,013.58
  5. Step 5: Solve for x
    x = 1,228,060,013.58/38,835
  6. Step 6: Final answer
    x = 31,622.51

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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.