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Finding the Fourth Proportional to 30,314.77, 45,486.59 and 13,679.90

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Solution

The fourth proportional to 30,314.77, 45,486.59 and 13,679.90 is: 20,526.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,314.77 : 45,486.59 = 13,679.90 : x
  2. Step 2: Convert to fraction form
    30,314.77/45,486.59 = 13,679.90/x
  3. Step 3: Cross multiply
    30,314.77x = 45,486.59 × 13,679.90
  4. Step 4: Simplify right side
    30,314.77x = 622,251,877.28
  5. Step 5: Solve for x
    x = 622,251,877.28/30,314.77
  6. Step 6: Final answer
    x = 20,526.36

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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.