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Finding the Fourth Proportional to 51,406.40, 77,109.60 and 16,349.60

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Solution

The fourth proportional to 51,406.40, 77,109.60 and 16,349.60 is: 24,524.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,406.40 : 77,109.60 = 16,349.60 : x
  2. Step 2: Convert to fraction form
    51,406.40/77,109.60 = 16,349.60/x
  3. Step 3: Cross multiply
    51,406.40x = 77,109.60 × 16,349.60
  4. Step 4: Simplify right side
    51,406.40x = 1,260,711,116.16
  5. Step 5: Solve for x
    x = 1,260,711,116.16/51,406.40
  6. Step 6: Final answer
    x = 24,524.40

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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.