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Finding the Fourth Proportional to 30,177.88, 41,645.60 and 16,749.40

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Solution

The fourth proportional to 30,177.88, 41,645.60 and 16,749.40 is: 23,114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,177.88 : 41,645.60 = 16,749.40 : x
  2. Step 2: Convert to fraction form
    30,177.88/41,645.60 = 16,749.40/x
  3. Step 3: Cross multiply
    30,177.88x = 41,645.60 × 16,749.40
  4. Step 4: Simplify right side
    30,177.88x = 697,538,812.64
  5. Step 5: Solve for x
    x = 697,538,812.64/30,177.88
  6. Step 6: Final answer
    x = 23,114.24

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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.