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Finding the Fourth Proportional to 32,500.77, 48,736.57 and 10,310.01

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Solution

The fourth proportional to 32,500.77, 48,736.57 and 10,310.01 is: 15,460.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,500.77 : 48,736.57 = 10,310.01 : x
  2. Step 2: Convert to fraction form
    32,500.77/48,736.57 = 10,310.01/x
  3. Step 3: Cross multiply
    32,500.77x = 48,736.57 × 10,310.01
  4. Step 4: Simplify right side
    32,500.77x = 502,474,524.07
  5. Step 5: Solve for x
    x = 502,474,524.07/32,500.77
  6. Step 6: Final answer
    x = 15,460.39

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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.