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Finding the Fourth Proportional to 30,701.83, 45,967.33 and 15,676.50

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Solution

The fourth proportional to 30,701.83, 45,967.33 and 15,676.50 is: 23,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,701.83 : 45,967.33 = 15,676.50 : x
  2. Step 2: Convert to fraction form
    30,701.83/45,967.33 = 15,676.50/x
  3. Step 3: Cross multiply
    30,701.83x = 45,967.33 × 15,676.50
  4. Step 4: Simplify right side
    30,701.83x = 720,606,848.75
  5. Step 5: Solve for x
    x = 720,606,848.75/30,701.83
  6. Step 6: Final answer
    x = 23,471.14

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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.