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Finding the Fourth Proportional to 30,938.44, 46,410.18 and 8,752

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Solution

The fourth proportional to 30,938.44, 46,410.18 and 8,752 is: 13,128.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,938.44 : 46,410.18 = 8,752 : x
  2. Step 2: Convert to fraction form
    30,938.44/46,410.18 = 8,752/x
  3. Step 3: Cross multiply
    30,938.44x = 46,410.18 × 8,752
  4. Step 4: Simplify right side
    30,938.44x = 406,181,895.36
  5. Step 5: Solve for x
    x = 406,181,895.36/30,938.44
  6. Step 6: Final answer
    x = 13,128.71

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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.