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Finding the Fourth Proportional to 32,284.64, 48,443.54 and 13,323.28

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Solution

The fourth proportional to 32,284.64, 48,443.54 and 13,323.28 is: 19,991.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,284.64 : 48,443.54 = 13,323.28 : x
  2. Step 2: Convert to fraction form
    32,284.64/48,443.54 = 13,323.28/x
  3. Step 3: Cross multiply
    32,284.64x = 48,443.54 × 13,323.28
  4. Step 4: Simplify right side
    32,284.64x = 645,426,847.61
  5. Step 5: Solve for x
    x = 645,426,847.61/32,284.64
  6. Step 6: Final answer
    x = 19,991.76

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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.