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Finding the Fourth Proportional to 52,172.64, 71,984.16 and 32,037.12

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Solution

The fourth proportional to 52,172.64, 71,984.16 and 32,037.12 is: 44,202.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,172.64 : 71,984.16 = 32,037.12 : x
  2. Step 2: Convert to fraction form
    52,172.64/71,984.16 = 32,037.12/x
  3. Step 3: Cross multiply
    52,172.64x = 71,984.16 × 32,037.12
  4. Step 4: Simplify right side
    52,172.64x = 2,306,165,172.02
  5. Step 5: Solve for x
    x = 2,306,165,172.02/52,172.64
  6. Step 6: Final answer
    x = 44,202.58

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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.