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Finding the Fourth Proportional to 30,535.70, 45,810.10 and 9,475.28

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Solution

The fourth proportional to 30,535.70, 45,810.10 and 9,475.28 is: 14,214.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,535.70 : 45,810.10 = 9,475.28 : x
  2. Step 2: Convert to fraction form
    30,535.70/45,810.10 = 9,475.28/x
  3. Step 3: Cross multiply
    30,535.70x = 45,810.10 × 9,475.28
  4. Step 4: Simplify right side
    30,535.70x = 434,063,524.33
  5. Step 5: Solve for x
    x = 434,063,524.33/30,535.70
  6. Step 6: Final answer
    x = 14,214.95

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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.