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Finding the Fourth Proportional to 32,203, 48,308.64 and 11,426.68

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Solution

The fourth proportional to 32,203, 48,308.64 and 11,426.68 is: 17,141.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,203 : 48,308.64 = 11,426.68 : x
  2. Step 2: Convert to fraction form
    32,203/48,308.64 = 11,426.68/x
  3. Step 3: Cross multiply
    32,203x = 48,308.64 × 11,426.68
  4. Step 4: Simplify right side
    32,203x = 552,007,370.52
  5. Step 5: Solve for x
    x = 552,007,370.52/32,203
  6. Step 6: Final answer
    x = 17,141.49

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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.