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Finding the Fourth Proportional to 30,307.06, 45,460.49 and 13,647.59

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Solution

The fourth proportional to 30,307.06, 45,460.49 and 13,647.59 is: 20,471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,307.06 : 45,460.49 = 13,647.59 : x
  2. Step 2: Convert to fraction form
    30,307.06/45,460.49 = 13,647.59/x
  3. Step 3: Cross multiply
    30,307.06x = 45,460.49 × 13,647.59
  4. Step 4: Simplify right side
    30,307.06x = 620,425,901.42
  5. Step 5: Solve for x
    x = 620,425,901.42/30,307.06
  6. Step 6: Final answer
    x = 20,471.34

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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.