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Finding the Fourth Proportional to 32,008.64, 48,022.58 and 15,154.50

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Solution

The fourth proportional to 32,008.64, 48,022.58 and 15,154.50 is: 22,736.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,008.64 : 48,022.58 = 15,154.50 : x
  2. Step 2: Convert to fraction form
    32,008.64/48,022.58 = 15,154.50/x
  3. Step 3: Cross multiply
    32,008.64x = 48,022.58 × 15,154.50
  4. Step 4: Simplify right side
    32,008.64x = 727,758,112.84
  5. Step 5: Solve for x
    x = 727,758,112.84/32,008.64
  6. Step 6: Final answer
    x = 22,736.30

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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.