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Finding the Fourth Proportional to 35,864.42, 53,796.14 and 16,129

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Solution

The fourth proportional to 35,864.42, 53,796.14 and 16,129 is: 24,193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,864.42 : 53,796.14 = 16,129 : x
  2. Step 2: Convert to fraction form
    35,864.42/53,796.14 = 16,129/x
  3. Step 3: Cross multiply
    35,864.42x = 53,796.14 × 16,129
  4. Step 4: Simplify right side
    35,864.42x = 867,677,942.06
  5. Step 5: Solve for x
    x = 867,677,942.06/35,864.42
  6. Step 6: Final answer
    x = 24,193.28

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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.