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Finding the Fourth Proportional to 30,515.12, 45,774.32 and 9,737

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Solution

The fourth proportional to 30,515.12, 45,774.32 and 9,737 is: 14,606.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,515.12 : 45,774.32 = 9,737 : x
  2. Step 2: Convert to fraction form
    30,515.12/45,774.32 = 9,737/x
  3. Step 3: Cross multiply
    30,515.12x = 45,774.32 × 9,737
  4. Step 4: Simplify right side
    30,515.12x = 445,704,553.84
  5. Step 5: Solve for x
    x = 445,704,553.84/30,515.12
  6. Step 6: Final answer
    x = 14,606.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.