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Finding the Fourth Proportional to 100,579.98, 150,877.26 and 30,464.76

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Solution

The fourth proportional to 100,579.98, 150,877.26 and 30,464.76 is: 45,699.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,579.98 : 150,877.26 = 30,464.76 : x
  2. Step 2: Convert to fraction form
    100,579.98/150,877.26 = 30,464.76/x
  3. Step 3: Cross multiply
    100,579.98x = 150,877.26 × 30,464.76
  4. Step 4: Simplify right side
    100,579.98x = 4,596,439,515.36
  5. Step 5: Solve for x
    x = 4,596,439,515.36/100,579.98
  6. Step 6: Final answer
    x = 45,699.35

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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.