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Finding the Fourth Proportional to 38,501.75, 53,130.83 and 21,505.91

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Solution

The fourth proportional to 38,501.75, 53,130.83 and 21,505.91 is: 29,677.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,501.75 : 53,130.83 = 21,505.91 : x
  2. Step 2: Convert to fraction form
    38,501.75/53,130.83 = 21,505.91/x
  3. Step 3: Cross multiply
    38,501.75x = 53,130.83 × 21,505.91
  4. Step 4: Simplify right side
    38,501.75x = 1,142,627,107.54
  5. Step 5: Solve for x
    x = 1,142,627,107.54/38,501.75
  6. Step 6: Final answer
    x = 29,677.28

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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.