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Finding the Fourth Proportional to 50,730.48, 76,113.76 and 22,648

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Solution

The fourth proportional to 50,730.48, 76,113.76 and 22,648 is: 33,980.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,730.48 : 76,113.76 = 22,648 : x
  2. Step 2: Convert to fraction form
    50,730.48/76,113.76 = 22,648/x
  3. Step 3: Cross multiply
    50,730.48x = 76,113.76 × 22,648
  4. Step 4: Simplify right side
    50,730.48x = 1,723,824,436.48
  5. Step 5: Solve for x
    x = 1,723,824,436.48/50,730.48
  6. Step 6: Final answer
    x = 33,980.05

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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.