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Finding the Fourth Proportional to 31,914, 44,041.32 and 19,336.32

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Solution

The fourth proportional to 31,914, 44,041.32 and 19,336.32 is: 26,684.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,914 : 44,041.32 = 19,336.32 : x
  2. Step 2: Convert to fraction form
    31,914/44,041.32 = 19,336.32/x
  3. Step 3: Cross multiply
    31,914x = 44,041.32 × 19,336.32
  4. Step 4: Simplify right side
    31,914x = 851,597,056.74
  5. Step 5: Solve for x
    x = 851,597,056.74/31,914
  6. Step 6: Final answer
    x = 26,684.12

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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.