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Finding the Fourth Proportional to 32,097.14, 48,148.14 and 8,723.24

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Solution

The fourth proportional to 32,097.14, 48,148.14 and 8,723.24 is: 13,085.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.14 : 48,148.14 = 8,723.24 : x
  2. Step 2: Convert to fraction form
    32,097.14/48,148.14 = 8,723.24/x
  3. Step 3: Cross multiply
    32,097.14x = 48,148.14 × 8,723.24
  4. Step 4: Simplify right side
    32,097.14x = 420,007,780.77
  5. Step 5: Solve for x
    x = 420,007,780.77/32,097.14
  6. Step 6: Final answer
    x = 13,085.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.