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Finding the Fourth Proportional to 30,129.76, 45,176.41 and 13,486.69

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Solution

The fourth proportional to 30,129.76, 45,176.41 and 13,486.69 is: 20,221.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,129.76 : 45,176.41 = 13,486.69 : x
  2. Step 2: Convert to fraction form
    30,129.76/45,176.41 = 13,486.69/x
  3. Step 3: Cross multiply
    30,129.76x = 45,176.41 × 13,486.69
  4. Step 4: Simplify right side
    30,129.76x = 609,280,090.33
  5. Step 5: Solve for x
    x = 609,280,090.33/30,129.76
  6. Step 6: Final answer
    x = 20,221.87

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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.