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Finding the Fourth Proportional to 30,989.60, 46,484.40 and 13,444.64

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Solution

The fourth proportional to 30,989.60, 46,484.40 and 13,444.64 is: 20,166.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,989.60 : 46,484.40 = 13,444.64 : x
  2. Step 2: Convert to fraction form
    30,989.60/46,484.40 = 13,444.64/x
  3. Step 3: Cross multiply
    30,989.60x = 46,484.40 × 13,444.64
  4. Step 4: Simplify right side
    30,989.60x = 624,966,023.62
  5. Step 5: Solve for x
    x = 624,966,023.62/30,989.60
  6. Step 6: Final answer
    x = 20,166.96

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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.