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Finding the Fourth Proportional to 30,402.28, 45,610.42 and 9,625.78

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Solution

The fourth proportional to 30,402.28, 45,610.42 and 9,625.78 is: 14,440.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,402.28 : 45,610.42 = 9,625.78 : x
  2. Step 2: Convert to fraction form
    30,402.28/45,610.42 = 9,625.78/x
  3. Step 3: Cross multiply
    30,402.28x = 45,610.42 × 9,625.78
  4. Step 4: Simplify right side
    30,402.28x = 439,035,868.63
  5. Step 5: Solve for x
    x = 439,035,868.63/30,402.28
  6. Step 6: Final answer
    x = 14,440.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.