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Finding the Fourth Proportional to 30,709.21, 46,071.86 and 9,648.40

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Solution

The fourth proportional to 30,709.21, 46,071.86 and 9,648.40 is: 14,475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709.21 : 46,071.86 = 9,648.40 : x
  2. Step 2: Convert to fraction form
    30,709.21/46,071.86 = 9,648.40/x
  3. Step 3: Cross multiply
    30,709.21x = 46,071.86 × 9,648.40
  4. Step 4: Simplify right side
    30,709.21x = 444,519,734.02
  5. Step 5: Solve for x
    x = 444,519,734.02/30,709.21
  6. Step 6: Final answer
    x = 14,475.13

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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.