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Finding the Fourth Proportional to 165,357, 248,035.50 and 48,621

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Solution

The fourth proportional to 165,357, 248,035.50 and 48,621 is: 72,931.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,357 : 248,035.50 = 48,621 : x
  2. Step 2: Convert to fraction form
    165,357/248,035.50 = 48,621/x
  3. Step 3: Cross multiply
    165,357x = 248,035.50 × 48,621
  4. Step 4: Simplify right side
    165,357x = 12,059,734,045.50
  5. Step 5: Solve for x
    x = 12,059,734,045.50/165,357
  6. Step 6: Final answer
    x = 72,931.50

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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.