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Finding the Fourth Proportional to 30,138.32, 45,207.12 and 14,544.92

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Solution

The fourth proportional to 30,138.32, 45,207.12 and 14,544.92 is: 21,817.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,138.32 : 45,207.12 = 14,544.92 : x
  2. Step 2: Convert to fraction form
    30,138.32/45,207.12 = 14,544.92/x
  3. Step 3: Cross multiply
    30,138.32x = 45,207.12 × 14,544.92
  4. Step 4: Simplify right side
    30,138.32x = 657,533,943.83
  5. Step 5: Solve for x
    x = 657,533,943.83/30,138.32
  6. Step 6: Final answer
    x = 21,817.21

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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.