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Finding the Fourth Proportional to 30,472.38, 42,051.69 and 17,043.57

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Solution

The fourth proportional to 30,472.38, 42,051.69 and 17,043.57 is: 23,520.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,472.38 : 42,051.69 = 17,043.57 : x
  2. Step 2: Convert to fraction form
    30,472.38/42,051.69 = 17,043.57/x
  3. Step 3: Cross multiply
    30,472.38x = 42,051.69 × 17,043.57
  4. Step 4: Simplify right side
    30,472.38x = 716,710,922.13
  5. Step 5: Solve for x
    x = 716,710,922.13/30,472.38
  6. Step 6: Final answer
    x = 23,520.02

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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.