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Finding the Fourth Proportional to 30,994.72, 46,472.56 and 10,212.64

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Solution

The fourth proportional to 30,994.72, 46,472.56 and 10,212.64 is: 15,312.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,994.72 : 46,472.56 = 10,212.64 : x
  2. Step 2: Convert to fraction form
    30,994.72/46,472.56 = 10,212.64/x
  3. Step 3: Cross multiply
    30,994.72x = 46,472.56 × 10,212.64
  4. Step 4: Simplify right side
    30,994.72x = 474,607,525.16
  5. Step 5: Solve for x
    x = 474,607,525.16/30,994.72
  6. Step 6: Final answer
    x = 15,312.53

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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.