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Finding the Fourth Proportional to 30,138.09, 45,221.71 and 18,444.93

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Solution

The fourth proportional to 30,138.09, 45,221.71 and 18,444.93 is: 27,676.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,138.09 : 45,221.71 = 18,444.93 : x
  2. Step 2: Convert to fraction form
    30,138.09/45,221.71 = 18,444.93/x
  3. Step 3: Cross multiply
    30,138.09x = 45,221.71 × 18,444.93
  4. Step 4: Simplify right side
    30,138.09x = 834,111,275.43
  5. Step 5: Solve for x
    x = 834,111,275.43/30,138.09
  6. Step 6: Final answer
    x = 27,676.32

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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.