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Finding the Fourth Proportional to 30,624.50, 45,936.76 and 9,848

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Solution

The fourth proportional to 30,624.50, 45,936.76 and 9,848 is: 14,772.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,624.50 : 45,936.76 = 9,848 : x
  2. Step 2: Convert to fraction form
    30,624.50/45,936.76 = 9,848/x
  3. Step 3: Cross multiply
    30,624.50x = 45,936.76 × 9,848
  4. Step 4: Simplify right side
    30,624.50x = 452,385,212.48
  5. Step 5: Solve for x
    x = 452,385,212.48/30,624.50
  6. Step 6: Final answer
    x = 14,772.00

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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.