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Finding the Fourth Proportional to 38,513.75, 53,149.32 and 22,598.46

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Solution

The fourth proportional to 38,513.75, 53,149.32 and 22,598.46 is: 31,186.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,513.75 : 53,149.32 = 22,598.46 : x
  2. Step 2: Convert to fraction form
    38,513.75/53,149.32 = 22,598.46/x
  3. Step 3: Cross multiply
    38,513.75x = 53,149.32 × 22,598.46
  4. Step 4: Simplify right side
    38,513.75x = 1,201,092,782.05
  5. Step 5: Solve for x
    x = 1,201,092,782.05/38,513.75
  6. Step 6: Final answer
    x = 31,186.08

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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.