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Finding the Fourth Proportional to 38,666.85, 53,385.96 and 29,698.32

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Solution

The fourth proportional to 38,666.85, 53,385.96 and 29,698.32 is: 41,003.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,666.85 : 53,385.96 = 29,698.32 : x
  2. Step 2: Convert to fraction form
    38,666.85/53,385.96 = 29,698.32/x
  3. Step 3: Cross multiply
    38,666.85x = 53,385.96 × 29,698.32
  4. Step 4: Simplify right side
    38,666.85x = 1,585,473,323.59
  5. Step 5: Solve for x
    x = 1,585,473,323.59/38,666.85
  6. Step 6: Final answer
    x = 41,003.43

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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.