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Finding the Fourth Proportional to 35,468.64, 53,221.14 and 21,462.12

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Solution

The fourth proportional to 35,468.64, 53,221.14 and 21,462.12 is: 32,204.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,468.64 : 53,221.14 = 21,462.12 : x
  2. Step 2: Convert to fraction form
    35,468.64/53,221.14 = 21,462.12/x
  3. Step 3: Cross multiply
    35,468.64x = 53,221.14 × 21,462.12
  4. Step 4: Simplify right side
    35,468.64x = 1,142,238,493.22
  5. Step 5: Solve for x
    x = 1,142,238,493.22/35,468.64
  6. Step 6: Final answer
    x = 32,204.18

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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.