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Finding the Fourth Proportional to 30,486.53, 45,732.36 and 11,765.81

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Solution

The fourth proportional to 30,486.53, 45,732.36 and 11,765.81 is: 17,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,486.53 : 45,732.36 = 11,765.81 : x
  2. Step 2: Convert to fraction form
    30,486.53/45,732.36 = 11,765.81/x
  3. Step 3: Cross multiply
    30,486.53x = 45,732.36 × 11,765.81
  4. Step 4: Simplify right side
    30,486.53x = 538,078,258.61
  5. Step 5: Solve for x
    x = 538,078,258.61/30,486.53
  6. Step 6: Final answer
    x = 17,649.70

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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.