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Finding the Fourth Proportional to 30,117.38, 41,562.58 and 17,542.94

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Solution

The fourth proportional to 30,117.38, 41,562.58 and 17,542.94 is: 24,209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,117.38 : 41,562.58 = 17,542.94 : x
  2. Step 2: Convert to fraction form
    30,117.38/41,562.58 = 17,542.94/x
  3. Step 3: Cross multiply
    30,117.38x = 41,562.58 × 17,542.94
  4. Step 4: Simplify right side
    30,117.38x = 729,129,595.51
  5. Step 5: Solve for x
    x = 729,129,595.51/30,117.38
  6. Step 6: Final answer
    x = 24,209.60

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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.