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Finding the Fourth Proportional to 32,076.20, 48,124.02 and 15,431.50

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Solution

The fourth proportional to 32,076.20, 48,124.02 and 15,431.50 is: 23,151.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076.20 : 48,124.02 = 15,431.50 : x
  2. Step 2: Convert to fraction form
    32,076.20/48,124.02 = 15,431.50/x
  3. Step 3: Cross multiply
    32,076.20x = 48,124.02 × 15,431.50
  4. Step 4: Simplify right side
    32,076.20x = 742,625,814.63
  5. Step 5: Solve for x
    x = 742,625,814.63/32,076.20
  6. Step 6: Final answer
    x = 23,151.93

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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.