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Finding the Fourth Proportional to 38,542.93, 53,186.31 and 23,433.50

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Solution

The fourth proportional to 38,542.93, 53,186.31 and 23,433.50 is: 32,336.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,542.93 : 53,186.31 = 23,433.50 : x
  2. Step 2: Convert to fraction form
    38,542.93/53,186.31 = 23,433.50/x
  3. Step 3: Cross multiply
    38,542.93x = 53,186.31 × 23,433.50
  4. Step 4: Simplify right side
    38,542.93x = 1,246,341,528.35
  5. Step 5: Solve for x
    x = 1,246,341,528.35/38,542.93
  6. Step 6: Final answer
    x = 32,336.45

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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.