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Finding the Fourth Proportional to 32,179.64, 48,232.08 and 19,043.08

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Solution

The fourth proportional to 32,179.64, 48,232.08 and 19,043.08 is: 28,542.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,179.64 : 48,232.08 = 19,043.08 : x
  2. Step 2: Convert to fraction form
    32,179.64/48,232.08 = 19,043.08/x
  3. Step 3: Cross multiply
    32,179.64x = 48,232.08 × 19,043.08
  4. Step 4: Simplify right side
    32,179.64x = 918,487,358.01
  5. Step 5: Solve for x
    x = 918,487,358.01/32,179.64
  6. Step 6: Final answer
    x = 28,542.50

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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.