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Finding the Fourth Proportional to 30,459.42, 45,688.65 and 9,682.62

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Solution

The fourth proportional to 30,459.42, 45,688.65 and 9,682.62 is: 14,523.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,459.42 : 45,688.65 = 9,682.62 : x
  2. Step 2: Convert to fraction form
    30,459.42/45,688.65 = 9,682.62/x
  3. Step 3: Cross multiply
    30,459.42x = 45,688.65 × 9,682.62
  4. Step 4: Simplify right side
    30,459.42x = 442,385,836.26
  5. Step 5: Solve for x
    x = 442,385,836.26/30,459.42
  6. Step 6: Final answer
    x = 14,523.78

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