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Finding the Fourth Proportional to 38,905.76, 53,693.52 and 30,415.52

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Solution

The fourth proportional to 38,905.76, 53,693.52 and 30,415.52 is: 41,976.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,905.76 : 53,693.52 = 30,415.52 : x
  2. Step 2: Convert to fraction form
    38,905.76/53,693.52 = 30,415.52/x
  3. Step 3: Cross multiply
    38,905.76x = 53,693.52 × 30,415.52
  4. Step 4: Simplify right side
    38,905.76x = 1,633,116,331.43
  5. Step 5: Solve for x
    x = 1,633,116,331.43/38,905.76
  6. Step 6: Final answer
    x = 41,976.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.