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Finding the Fourth Proportional to 31,014.63, 42,801.08 and 16,868.39

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Solution

The fourth proportional to 31,014.63, 42,801.08 and 16,868.39 is: 23,278.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,014.63 : 42,801.08 = 16,868.39 : x
  2. Step 2: Convert to fraction form
    31,014.63/42,801.08 = 16,868.39/x
  3. Step 3: Cross multiply
    31,014.63x = 42,801.08 × 16,868.39
  4. Step 4: Simplify right side
    31,014.63x = 721,985,011.51
  5. Step 5: Solve for x
    x = 721,985,011.51/31,014.63
  6. Step 6: Final answer
    x = 23,278.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.