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Finding the Fourth Proportional to 32,911.30, 49,378.47 and 9,539.14

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Solution

The fourth proportional to 32,911.30, 49,378.47 and 9,539.14 is: 14,312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,911.30 : 49,378.47 = 9,539.14 : x
  2. Step 2: Convert to fraction form
    32,911.30/49,378.47 = 9,539.14/x
  3. Step 3: Cross multiply
    32,911.30x = 49,378.47 × 9,539.14
  4. Step 4: Simplify right side
    32,911.30x = 471,028,138.32
  5. Step 5: Solve for x
    x = 471,028,138.32/32,911.30
  6. Step 6: Final answer
    x = 14,312.05

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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.