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Finding the Fourth Proportional to 30,750.30, 46,090.88 and 15,178.86

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Solution

The fourth proportional to 30,750.30, 46,090.88 and 15,178.86 is: 22,751.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,750.30 : 46,090.88 = 15,178.86 : x
  2. Step 2: Convert to fraction form
    30,750.30/46,090.88 = 15,178.86/x
  3. Step 3: Cross multiply
    30,750.30x = 46,090.88 × 15,178.86
  4. Step 4: Simplify right side
    30,750.30x = 699,607,014.80
  5. Step 5: Solve for x
    x = 699,607,014.80/30,750.30
  6. Step 6: Final answer
    x = 22,751.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.