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Finding the Fourth Proportional to 30,548.76, 45,782.10 and 13,013.88

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Solution

The fourth proportional to 30,548.76, 45,782.10 and 13,013.88 is: 19,503.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,548.76 : 45,782.10 = 13,013.88 : x
  2. Step 2: Convert to fraction form
    30,548.76/45,782.10 = 13,013.88/x
  3. Step 3: Cross multiply
    30,548.76x = 45,782.10 × 13,013.88
  4. Step 4: Simplify right side
    30,548.76x = 595,802,755.55
  5. Step 5: Solve for x
    x = 595,802,755.55/30,548.76
  6. Step 6: Final answer
    x = 19,503.34

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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.