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Finding the Fourth Proportional to 32,429.28, 44,746.08 and 19,845.12

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Solution

The fourth proportional to 32,429.28, 44,746.08 and 19,845.12 is: 27,382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,429.28 : 44,746.08 = 19,845.12 : x
  2. Step 2: Convert to fraction form
    32,429.28/44,746.08 = 19,845.12/x
  3. Step 3: Cross multiply
    32,429.28x = 44,746.08 × 19,845.12
  4. Step 4: Simplify right side
    32,429.28x = 887,991,327.13
  5. Step 5: Solve for x
    x = 887,991,327.13/32,429.28
  6. Step 6: Final answer
    x = 27,382.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.