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Finding the Fourth Proportional to 100,676.80, 151,036.80 and 30,563.20

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Solution

The fourth proportional to 100,676.80, 151,036.80 and 30,563.20 is: 45,851.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,676.80 : 151,036.80 = 30,563.20 : x
  2. Step 2: Convert to fraction form
    100,676.80/151,036.80 = 30,563.20/x
  3. Step 3: Cross multiply
    100,676.80x = 151,036.80 × 30,563.20
  4. Step 4: Simplify right side
    100,676.80x = 4,616,167,925.76
  5. Step 5: Solve for x
    x = 4,616,167,925.76/100,676.80
  6. Step 6: Final answer
    x = 45,851.36

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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.