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Finding the Fourth Proportional to 102,495.36, 153,520.80 and 49,794.24

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Solution

The fourth proportional to 102,495.36, 153,520.80 and 49,794.24 is: 74,583.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,495.36 : 153,520.80 = 49,794.24 : x
  2. Step 2: Convert to fraction form
    102,495.36/153,520.80 = 49,794.24/x
  3. Step 3: Cross multiply
    102,495.36x = 153,520.80 × 49,794.24
  4. Step 4: Simplify right side
    102,495.36x = 7,644,451,560.19
  5. Step 5: Solve for x
    x = 7,644,451,560.19/102,495.36
  6. Step 6: Final answer
    x = 74,583.39

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1.5x scale

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.