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Finding the Fourth Proportional to 30,177.83, 45,266.75 and 9,402.95

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Solution

The fourth proportional to 30,177.83, 45,266.75 and 9,402.95 is: 14,104.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,177.83 : 45,266.75 = 9,402.95 : x
  2. Step 2: Convert to fraction form
    30,177.83/45,266.75 = 9,402.95/x
  3. Step 3: Cross multiply
    30,177.83x = 45,266.75 × 9,402.95
  4. Step 4: Simplify right side
    30,177.83x = 425,640,713.56
  5. Step 5: Solve for x
    x = 425,640,713.56/30,177.83
  6. Step 6: Final answer
    x = 14,104.42

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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.