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Finding the Fourth Proportional to 32,611.59, 48,917.72 and 10,424.47

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Solution

The fourth proportional to 32,611.59, 48,917.72 and 10,424.47 is: 15,636.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,611.59 : 48,917.72 = 10,424.47 : x
  2. Step 2: Convert to fraction form
    32,611.59/48,917.72 = 10,424.47/x
  3. Step 3: Cross multiply
    32,611.59x = 48,917.72 × 10,424.47
  4. Step 4: Simplify right side
    32,611.59x = 509,941,437.68
  5. Step 5: Solve for x
    x = 509,941,437.68/32,611.59
  6. Step 6: Final answer
    x = 15,636.82

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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.