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Finding the Fourth Proportional to 30,811.81, 46,217.71 and 10,035.31

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Solution

The fourth proportional to 30,811.81, 46,217.71 and 10,035.31 is: 15,052.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,811.81 : 46,217.71 = 10,035.31 : x
  2. Step 2: Convert to fraction form
    30,811.81/46,217.71 = 10,035.31/x
  3. Step 3: Cross multiply
    30,811.81x = 46,217.71 × 10,035.31
  4. Step 4: Simplify right side
    30,811.81x = 463,808,944.34
  5. Step 5: Solve for x
    x = 463,808,944.34/30,811.81
  6. Step 6: Final answer
    x = 15,052.96

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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.