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Finding the Fourth Proportional to 30,945.38, 42,706.73 and 17,516.58

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Solution

The fourth proportional to 30,945.38, 42,706.73 and 17,516.58 is: 24,174.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,945.38 : 42,706.73 = 17,516.58 : x
  2. Step 2: Convert to fraction form
    30,945.38/42,706.73 = 17,516.58/x
  3. Step 3: Cross multiply
    30,945.38x = 42,706.73 × 17,516.58
  4. Step 4: Simplify right side
    30,945.38x = 748,075,765.00
  5. Step 5: Solve for x
    x = 748,075,765.00/30,945.38
  6. Step 6: Final answer
    x = 24,174.07

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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.