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Finding the Fourth Proportional to 30,886.88, 46,334.25 and 8,398.03

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Solution

The fourth proportional to 30,886.88, 46,334.25 and 8,398.03 is: 12,598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,886.88 : 46,334.25 = 8,398.03 : x
  2. Step 2: Convert to fraction form
    30,886.88/46,334.25 = 8,398.03/x
  3. Step 3: Cross multiply
    30,886.88x = 46,334.25 × 8,398.03
  4. Step 4: Simplify right side
    30,886.88x = 389,116,189.86
  5. Step 5: Solve for x
    x = 389,116,189.86/30,886.88
  6. Step 6: Final answer
    x = 12,598.11

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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.