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Finding the Fourth Proportional to 97,920.50, 146,880.39 and 27,799.82

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Solution

The fourth proportional to 97,920.50, 146,880.39 and 27,799.82 is: 41,699.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,920.50 : 146,880.39 = 27,799.82 : x
  2. Step 2: Convert to fraction form
    97,920.50/146,880.39 = 27,799.82/x
  3. Step 3: Cross multiply
    97,920.50x = 146,880.39 × 27,799.82
  4. Step 4: Simplify right side
    97,920.50x = 4,083,248,403.53
  5. Step 5: Solve for x
    x = 4,083,248,403.53/97,920.50
  6. Step 6: Final answer
    x = 41,699.63

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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.