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Finding the Fourth Proportional to 38,533.76, 53,138.88 and 23,428.48

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Solution

The fourth proportional to 38,533.76, 53,138.88 and 23,428.48 is: 32,308.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,533.76 : 53,138.88 = 23,428.48 : x
  2. Step 2: Convert to fraction form
    38,533.76/53,138.88 = 23,428.48/x
  3. Step 3: Cross multiply
    38,533.76x = 53,138.88 × 23,428.48
  4. Step 4: Simplify right side
    38,533.76x = 1,244,963,187.30
  5. Step 5: Solve for x
    x = 1,244,963,187.30/38,533.76
  6. Step 6: Final answer
    x = 32,308.38

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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.