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Finding the Fourth Proportional to 30,658.40, 42,308.04 and 17,047.28

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Solution

The fourth proportional to 30,658.40, 42,308.04 and 17,047.28 is: 23,524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,658.40 : 42,308.04 = 17,047.28 : x
  2. Step 2: Convert to fraction form
    30,658.40/42,308.04 = 17,047.28/x
  3. Step 3: Cross multiply
    30,658.40x = 42,308.04 × 17,047.28
  4. Step 4: Simplify right side
    30,658.40x = 721,237,004.13
  5. Step 5: Solve for x
    x = 721,237,004.13/30,658.40
  6. Step 6: Final answer
    x = 23,524.94

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