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Finding the Fourth Proportional to 30,535.18, 45,809.30 and 9,474.76

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Solution

The fourth proportional to 30,535.18, 45,809.30 and 9,474.76 is: 14,214.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,535.18 : 45,809.30 = 9,474.76 : x
  2. Step 2: Convert to fraction form
    30,535.18/45,809.30 = 9,474.76/x
  3. Step 3: Cross multiply
    30,535.18x = 45,809.30 × 9,474.76
  4. Step 4: Simplify right side
    30,535.18x = 434,032,123.27
  5. Step 5: Solve for x
    x = 434,032,123.27/30,535.18
  6. Step 6: Final answer
    x = 14,214.17

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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.