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Finding the Fourth Proportional to 30,032.25, 45,048.38 and 9,255.75

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Solution

The fourth proportional to 30,032.25, 45,048.38 and 9,255.75 is: 13,883.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,032.25 : 45,048.38 = 9,255.75 : x
  2. Step 2: Convert to fraction form
    30,032.25/45,048.38 = 9,255.75/x
  3. Step 3: Cross multiply
    30,032.25x = 45,048.38 × 9,255.75
  4. Step 4: Simplify right side
    30,032.25x = 416,956,543.19
  5. Step 5: Solve for x
    x = 416,956,543.19/30,032.25
  6. Step 6: Final answer
    x = 13,883.63

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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.