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Finding the Fourth Proportional to 30,564.96, 45,847.61 and 13,913.35

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Solution

The fourth proportional to 30,564.96, 45,847.61 and 13,913.35 is: 20,870.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,564.96 : 45,847.61 = 13,913.35 : x
  2. Step 2: Convert to fraction form
    30,564.96/45,847.61 = 13,913.35/x
  3. Step 3: Cross multiply
    30,564.96x = 45,847.61 × 13,913.35
  4. Step 4: Simplify right side
    30,564.96x = 637,893,790.85
  5. Step 5: Solve for x
    x = 637,893,790.85/30,564.96
  6. Step 6: Final answer
    x = 20,870.10

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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.