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Finding the Fourth Proportional to 38,501.32, 53,131.25 and 21,505.80

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Solution

The fourth proportional to 38,501.32, 53,131.25 and 21,505.80 is: 29,677.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,501.32 : 53,131.25 = 21,505.80 : x
  2. Step 2: Convert to fraction form
    38,501.32/53,131.25 = 21,505.80/x
  3. Step 3: Cross multiply
    38,501.32x = 53,131.25 × 21,505.80
  4. Step 4: Simplify right side
    38,501.32x = 1,142,630,036.25
  5. Step 5: Solve for x
    x = 1,142,630,036.25/38,501.32
  6. Step 6: Final answer
    x = 29,677.68

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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.