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Finding the Fourth Proportional to 32,424.32, 48,638.64 and 10,238.60

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Solution

The fourth proportional to 32,424.32, 48,638.64 and 10,238.60 is: 15,358.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,424.32 : 48,638.64 = 10,238.60 : x
  2. Step 2: Convert to fraction form
    32,424.32/48,638.64 = 10,238.60/x
  3. Step 3: Cross multiply
    32,424.32x = 48,638.64 × 10,238.60
  4. Step 4: Simplify right side
    32,424.32x = 497,991,579.50
  5. Step 5: Solve for x
    x = 497,991,579.50/32,424.32
  6. Step 6: Final answer
    x = 15,358.58

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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.