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Finding the Fourth Proportional to 54,497, 75,205.20 and 30,627.72

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Solution

The fourth proportional to 54,497, 75,205.20 and 30,627.72 is: 42,265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,497 : 75,205.20 = 30,627.72 : x
  2. Step 2: Convert to fraction form
    54,497/75,205.20 = 30,627.72/x
  3. Step 3: Cross multiply
    54,497x = 75,205.20 × 30,627.72
  4. Step 4: Simplify right side
    54,497x = 2,303,363,808.14
  5. Step 5: Solve for x
    x = 2,303,363,808.14/54,497
  6. Step 6: Final answer
    x = 42,265.88

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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.