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Finding the Fourth Proportional to 54,950.40, 82,425.60 and 19,877.40

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Solution

The fourth proportional to 54,950.40, 82,425.60 and 19,877.40 is: 29,816.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,950.40 : 82,425.60 = 19,877.40 : x
  2. Step 2: Convert to fraction form
    54,950.40/82,425.60 = 19,877.40/x
  3. Step 3: Cross multiply
    54,950.40x = 82,425.60 × 19,877.40
  4. Step 4: Simplify right side
    54,950.40x = 1,638,406,621.44
  5. Step 5: Solve for x
    x = 1,638,406,621.44/54,950.40
  6. Step 6: Final answer
    x = 29,816.10

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Why These Related Problems?

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