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Finding the Fourth Proportional to 38,051.52, 57,076.65 and 11,753.16

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Solution

The fourth proportional to 38,051.52, 57,076.65 and 11,753.16 is: 17,629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,051.52 : 57,076.65 = 11,753.16 : x
  2. Step 2: Convert to fraction form
    38,051.52/57,076.65 = 11,753.16/x
  3. Step 3: Cross multiply
    38,051.52x = 57,076.65 × 11,753.16
  4. Step 4: Simplify right side
    38,051.52x = 670,830,999.71
  5. Step 5: Solve for x
    x = 670,830,999.71/38,051.52
  6. Step 6: Final answer
    x = 17,629.55

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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.