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Finding the Fourth Proportional to 30,353.76, 45,536.40 and 13,713.60

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Solution

The fourth proportional to 30,353.76, 45,536.40 and 13,713.60 is: 20,573.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,353.76 : 45,536.40 = 13,713.60 : x
  2. Step 2: Convert to fraction form
    30,353.76/45,536.40 = 13,713.60/x
  3. Step 3: Cross multiply
    30,353.76x = 45,536.40 × 13,713.60
  4. Step 4: Simplify right side
    30,353.76x = 624,467,975.04
  5. Step 5: Solve for x
    x = 624,467,975.04/30,353.76
  6. Step 6: Final answer
    x = 20,573.00

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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.