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Finding the Fourth Proportional to 32,976, 45,509.76 and 18,074.88

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Solution

The fourth proportional to 32,976, 45,509.76 and 18,074.88 is: 24,944.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,976 : 45,509.76 = 18,074.88 : x
  2. Step 2: Convert to fraction form
    32,976/45,509.76 = 18,074.88/x
  3. Step 3: Cross multiply
    32,976x = 45,509.76 × 18,074.88
  4. Step 4: Simplify right side
    32,976x = 822,583,450.83
  5. Step 5: Solve for x
    x = 822,583,450.83/32,976
  6. Step 6: Final answer
    x = 24,944.91

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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.