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Finding the Fourth Proportional to 32,800.64, 49,196.80 and 12,022.40

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Solution

The fourth proportional to 32,800.64, 49,196.80 and 12,022.40 is: 18,032.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,800.64 : 49,196.80 = 12,022.40 : x
  2. Step 2: Convert to fraction form
    32,800.64/49,196.80 = 12,022.40/x
  3. Step 3: Cross multiply
    32,800.64x = 49,196.80 × 12,022.40
  4. Step 4: Simplify right side
    32,800.64x = 591,463,608.32
  5. Step 5: Solve for x
    x = 591,463,608.32/32,800.64
  6. Step 6: Final answer
    x = 18,032.08

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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.