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Finding the Fourth Proportional to 30,893.68, 46,256.28 and 21,510.64

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Solution

The fourth proportional to 30,893.68, 46,256.28 and 21,510.64 is: 32,207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,893.68 : 46,256.28 = 21,510.64 : x
  2. Step 2: Convert to fraction form
    30,893.68/46,256.28 = 21,510.64/x
  3. Step 3: Cross multiply
    30,893.68x = 46,256.28 × 21,510.64
  4. Step 4: Simplify right side
    30,893.68x = 995,002,186.82
  5. Step 5: Solve for x
    x = 995,002,186.82/30,893.68
  6. Step 6: Final answer
    x = 32,207.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.