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Finding the Fourth Proportional to 32,041.80, 43,896.53 and 30,843.84

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Solution

The fourth proportional to 32,041.80, 43,896.53 and 30,843.84 is: 42,255.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,041.80 : 43,896.53 = 30,843.84 : x
  2. Step 2: Convert to fraction form
    32,041.80/43,896.53 = 30,843.84/x
  3. Step 3: Cross multiply
    32,041.80x = 43,896.53 × 30,843.84
  4. Step 4: Simplify right side
    32,041.80x = 1,353,937,547.88
  5. Step 5: Solve for x
    x = 1,353,937,547.88/32,041.80
  6. Step 6: Final answer
    x = 42,255.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.