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Finding the Fourth Proportional to 38,542.40, 53,187.53 and 23,435.49

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Solution

The fourth proportional to 38,542.40, 53,187.53 and 23,435.49 is: 32,340.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,542.40 : 53,187.53 = 23,435.49 : x
  2. Step 2: Convert to fraction form
    38,542.40/53,187.53 = 23,435.49/x
  3. Step 3: Cross multiply
    38,542.40x = 53,187.53 × 23,435.49
  4. Step 4: Simplify right side
    38,542.40x = 1,246,475,710.26
  5. Step 5: Solve for x
    x = 1,246,475,710.26/38,542.40
  6. Step 6: Final answer
    x = 32,340.38

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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.