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Finding the Fourth Proportional to 30,533.33, 45,806.53 and 9,472.91

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Solution

The fourth proportional to 30,533.33, 45,806.53 and 9,472.91 is: 14,211.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,533.33 : 45,806.53 = 9,472.91 : x
  2. Step 2: Convert to fraction form
    30,533.33/45,806.53 = 9,472.91/x
  3. Step 3: Cross multiply
    30,533.33x = 45,806.53 × 9,472.91
  4. Step 4: Simplify right side
    30,533.33x = 433,921,226.94
  5. Step 5: Solve for x
    x = 433,921,226.94/30,533.33
  6. Step 6: Final answer
    x = 14,211.40

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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.