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Finding the Fourth Proportional to 30,629.04, 45,942.48 and 9,852

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Solution

The fourth proportional to 30,629.04, 45,942.48 and 9,852 is: 14,777.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,629.04 : 45,942.48 = 9,852 : x
  2. Step 2: Convert to fraction form
    30,629.04/45,942.48 = 9,852/x
  3. Step 3: Cross multiply
    30,629.04x = 45,942.48 × 9,852
  4. Step 4: Simplify right side
    30,629.04x = 452,625,312.96
  5. Step 5: Solve for x
    x = 452,625,312.96/30,629.04
  6. Step 6: Final answer
    x = 14,777.65

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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.