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Finding the Fourth Proportional to 30,497.60, 45,732.96 and 9,723.20

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Solution

The fourth proportional to 30,497.60, 45,732.96 and 9,723.20 is: 14,580.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,497.60 : 45,732.96 = 9,723.20 : x
  2. Step 2: Convert to fraction form
    30,497.60/45,732.96 = 9,723.20/x
  3. Step 3: Cross multiply
    30,497.60x = 45,732.96 × 9,723.20
  4. Step 4: Simplify right side
    30,497.60x = 444,670,716.67
  5. Step 5: Solve for x
    x = 444,670,716.67/30,497.60
  6. Step 6: Final answer
    x = 14,580.52

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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.