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Finding the Fourth Proportional to 30,076.82, 45,117.65 and 9,300.32

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Solution

The fourth proportional to 30,076.82, 45,117.65 and 9,300.32 is: 13,951.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,076.82 : 45,117.65 = 9,300.32 : x
  2. Step 2: Convert to fraction form
    30,076.82/45,117.65 = 9,300.32/x
  3. Step 3: Cross multiply
    30,076.82x = 45,117.65 × 9,300.32
  4. Step 4: Simplify right side
    30,076.82x = 419,608,357.06
  5. Step 5: Solve for x
    x = 419,608,357.06/30,076.82
  6. Step 6: Final answer
    x = 13,951.22

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