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Finding the Fourth Proportional to 51,690.60, 77,608.80 and 32,007.60

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Solution

The fourth proportional to 51,690.60, 77,608.80 and 32,007.60 is: 48,056.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,690.60 : 77,608.80 = 32,007.60 : x
  2. Step 2: Convert to fraction form
    51,690.60/77,608.80 = 32,007.60/x
  3. Step 3: Cross multiply
    51,690.60x = 77,608.80 × 32,007.60
  4. Step 4: Simplify right side
    51,690.60x = 2,484,071,426.88
  5. Step 5: Solve for x
    x = 2,484,071,426.88/51,690.60
  6. Step 6: Final answer
    x = 48,056.54

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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.