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Finding the Fourth Proportional to 30,697.92, 42,405.48 and 23,712.48

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Solution

The fourth proportional to 30,697.92, 42,405.48 and 23,712.48 is: 32,755.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,697.92 : 42,405.48 = 23,712.48 : x
  2. Step 2: Convert to fraction form
    30,697.92/42,405.48 = 23,712.48/x
  3. Step 3: Cross multiply
    30,697.92x = 42,405.48 × 23,712.48
  4. Step 4: Simplify right side
    30,697.92x = 1,005,539,096.39
  5. Step 5: Solve for x
    x = 1,005,539,096.39/30,697.92
  6. Step 6: Final answer
    x = 32,755.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.