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Finding the Fourth Proportional to 38,523.47, 57,768.80 and 15,133.50

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Solution

The fourth proportional to 38,523.47, 57,768.80 and 15,133.50 is: 22,693.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,523.47 : 57,768.80 = 15,133.50 : x
  2. Step 2: Convert to fraction form
    38,523.47/57,768.80 = 15,133.50/x
  3. Step 3: Cross multiply
    38,523.47x = 57,768.80 × 15,133.50
  4. Step 4: Simplify right side
    38,523.47x = 874,244,059.13
  5. Step 5: Solve for x
    x = 874,244,059.13/38,523.47
  6. Step 6: Final answer
    x = 22,693.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.