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Finding the Fourth Proportional to 30,996.84, 46,499.64 and 9,931.96

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Solution

The fourth proportional to 30,996.84, 46,499.64 and 9,931.96 is: 14,899.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,996.84 : 46,499.64 = 9,931.96 : x
  2. Step 2: Convert to fraction form
    30,996.84/46,499.64 = 9,931.96/x
  3. Step 3: Cross multiply
    30,996.84x = 46,499.64 × 9,931.96
  4. Step 4: Simplify right side
    30,996.84x = 461,832,332.00
  5. Step 5: Solve for x
    x = 461,832,332.00/30,996.84
  6. Step 6: Final answer
    x = 14,899.34

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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.