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Finding the Fourth Proportional to 32,208.60, 48,315.30 and 11,429.40

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Solution

The fourth proportional to 32,208.60, 48,315.30 and 11,429.40 is: 17,144.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,208.60 : 48,315.30 = 11,429.40 : x
  2. Step 2: Convert to fraction form
    32,208.60/48,315.30 = 11,429.40/x
  3. Step 3: Cross multiply
    32,208.60x = 48,315.30 × 11,429.40
  4. Step 4: Simplify right side
    32,208.60x = 552,214,889.82
  5. Step 5: Solve for x
    x = 552,214,889.82/32,208.60
  6. Step 6: Final answer
    x = 17,144.95

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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.