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Finding the Fourth Proportional to 30,217.60, 45,319.92 and 9,429.76

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Solution

The fourth proportional to 30,217.60, 45,319.92 and 9,429.76 is: 14,142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,217.60 : 45,319.92 = 9,429.76 : x
  2. Step 2: Convert to fraction form
    30,217.60/45,319.92 = 9,429.76/x
  3. Step 3: Cross multiply
    30,217.60x = 45,319.92 × 9,429.76
  4. Step 4: Simplify right side
    30,217.60x = 427,355,968.82
  5. Step 5: Solve for x
    x = 427,355,968.82/30,217.60
  6. Step 6: Final answer
    x = 14,142.62

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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.