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Finding the Fourth Proportional to 30,834.51, 46,250.15 and 8,649.42

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Solution

The fourth proportional to 30,834.51, 46,250.15 and 8,649.42 is: 12,973.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,834.51 : 46,250.15 = 8,649.42 : x
  2. Step 2: Convert to fraction form
    30,834.51/46,250.15 = 8,649.42/x
  3. Step 3: Cross multiply
    30,834.51x = 46,250.15 × 8,649.42
  4. Step 4: Simplify right side
    30,834.51x = 400,036,929.17
  5. Step 5: Solve for x
    x = 400,036,929.17/30,834.51
  6. Step 6: Final answer
    x = 12,973.68

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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.