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Finding the Fourth Proportional to 30,960.11, 46,432.89 and 9,902.03

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Solution

The fourth proportional to 30,960.11, 46,432.89 and 9,902.03 is: 14,850.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,960.11 : 46,432.89 = 9,902.03 : x
  2. Step 2: Convert to fraction form
    30,960.11/46,432.89 = 9,902.03/x
  3. Step 3: Cross multiply
    30,960.11x = 46,432.89 × 9,902.03
  4. Step 4: Simplify right side
    30,960.11x = 459,779,869.77
  5. Step 5: Solve for x
    x = 459,779,869.77/30,960.11
  6. Step 6: Final answer
    x = 14,850.72

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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.